Pham Huu Tiep
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Vietnamese American mathematician
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Why Is Pham Huu Tiep Influential?
(Suggest an Edit or Addition)According to Wikipedia, Pham Huu Tiep is a Vietnamese American mathematician specializing in group theory and representation theory. He is currently a Joshua Barlaz Distinguished Professor of Mathematics at Rutgers University.
Pham Huu Tiep's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- The Ore conjecture (2010) (190)
- Minimal characters of the finite classical groups (1996) (158)
- The Waring problem for finite simple groups (2011) (94)
- Some Characterizations of the Weil Representations of the Symplectic and Unitary Groups (1997) (90)
- Real conjugacy classes in algebraic groups and finite groups of Lie type (2005) (87)
- Mutually unbiased bases and orthogonal decompositions of Lie algebras (2005) (81)
- Rational irreducible characters and rational conjugacy classes in finite groups (2007) (79)
- Low‐Dimensional Representations of Special Linear Groups in Cross Characteristics (1999) (73)
- Orthogonal decompositions and integral lattices (1994) (73)
- On Brauer’s Height Zero Conjecture (2014) (63)
- Cross characteristic representations of even characteristic symplectic groups (2004) (61)
- Cross characteristic representations of symplectic and unitary groups (2002) (60)
- Primes dividing the degrees of the real characters (2008) (60)
- Finite simple unisingular groups of Lie type (2003) (56)
- A reduction theorem for the Alperin weight conjecture (2011) (54)
- Prime divisors of character degrees (2008) (54)
- Representations of finite special linear groups in non-defining characteristic (2008) (46)
- On restrictions of modular spin representations of symmetric and alternating groups (2003) (45)
- Brauer characters with cyclotomic field of values (2008) (43)
- Irreducible representations of odd degree (2016) (43)
- Products of squares in finite simple groups (2011) (43)
- Unipotent elements of finite groups of Lie type and realization fields of their complex representations (2004) (43)
- Characters of relative p ' -degree over normal subgroups (2013) (43)
- Decompositions of small tensor powers and Larsen’s conjecture (2005) (41)
- Commutators in finite quasisimple groups (2011) (39)
- Brauer's height zero conjecture for the 2-blocks of maximal defect (2012) (38)
- Abelian Sylow subgroups in a finite group, II (2014) (36)
- LOW DIMENSIONAL REPRESENTATIONS OF FINITE QUASISIMPLE GROUPS (2003) (36)
- The largest irreducible representations of simple groups (2010) (36)
- Degrees of rational characters of finite groups (2010) (36)
- Real characters and degrees (2009) (35)
- Conjugacy action, induced representations and the Steinberg square for simple groups of Lie type (2012) (34)
- An Erdős-Ko-Rado theorem for finite 2-transitive groups (2016) (33)
- Irreducibility of tensor squares, symmetric squares and alternating squares (2002) (33)
- $p$-rational characters and self-normalizing Sylow $p$-subgroups (2007) (32)
- Products of conjugacy classes in finite and algebraic simple groups (2012) (32)
- Rank 3 permutation modules of the finite classical groups (2005) (30)
- Restriction of odd degree characters and natural correspondences (2016) (30)
- First cohomology groups of Chevalley groups in cross characteristic (2011) (29)
- Waring Problem for Finite Quasisimple Groups (2011) (27)
- Symmetric powers and a problem of Kollár and Larsen (2008) (27)
- Globally Irreducible Representations of Finite Groups and Integral Lattices (1997) (27)
- Weil Representations as Globally Irreducible Representations (1997) (27)
- Finite groups admitting grassmannian 4-designs☆ (2006) (25)
- Classifying character degree graphs with 5 vertices (2004) (25)
- Representations of the general linear groups which are irreducible over subgroups (2008) (25)
- McKay natural correspondences on characters (2014) (23)
- Mod p Reducibility of Unramified Representations of Finite Groups of Lie Type (2002) (23)
- Character restrictions and multiplicities in symmetric groups (2017) (22)
- Lifting in Frattini Covers and A Characterization of Finite Solvable Groups (2011) (22)
- Representation Growth in positive characteristic and conjugacy classes of maximal subgroups (2010) (22)
- Effective results on the Waring problem for finite simple groups (2013) (21)
- Some aspects of finite linear groups: A survey (2000) (20)
- Small-dimensional projective representations of symmetric and alternating groups (2011) (20)
- Arithmetic results on orbits of linear groups (2012) (20)
- Nilpotent and abelian Hall subgroups in finite groups (2013) (19)
- Symmetric Squares, Spherical Designs, and Lattice Minima (2001) (19)
- Sylow subgroups, exponents, and character values (2019) (19)
- Surjective word maps and Burnsides $p^aq^b$ theorem (2015) (19)
- Characters of algebra groups and unitriangular groups (2004) (19)
- Lower bounds for the minima of certain symplectic and unitary group lattices (1999) (18)
- Zeros of real irreducible characters of finite groups (2013) (17)
- CHARACTER LEVELS AND CHARACTER BOUNDS (2017) (17)
- Finite groups with two conjugacy classes of p‐elements and related questions for p‐blocks (2014) (16)
- Real class sizes and real character degrees (2010) (16)
- Character bounds for finite groups of Lie type (2017) (16)
- RIGID LOCAL SYSTEMS ON A 1 with FINITE MONODROMY (2018) (16)
- Groups with just one character degree divisible by a given prime (2009) (15)
- Groups with two real Brauer characters (2007) (15)
- On the Navarro–Willems conjecture for blocks of finite groups (2007) (14)
- Modular Representations of GL(3, Fp), Symmetric Squares, and Mod-p Cohomology of GL(3, Z) (1999) (14)
- Classical groups in dimension 5 which are Hurwitz (2004) (14)
- p‐parts of character degrees (2015) (14)
- Non-vanishing elements of finite groups (2010) (13)
- Globally irreducible representations of the finite symplectic group Sp4(q) (1994) (13)
- Real ordinary characters and real brauer characters (2014) (13)
- A NOTE ON THE MONOGENEITY OF POWER MAPS (12)
- Characters and Sylow 2-subgroups of maximal class revisited (2018) (12)
- Surjective word maps and Burnside’s $$p^aq^b$$paqb theorem (2015) (12)
- Unitary $t$-groups (2018) (12)
- Basic spin representations of 2Snand 2An as globally irreducible representations (1995) (12)
- Cross characteristic representations of odd characteristic symplectic groups and unitary groups (2006) (12)
- Cycle indices for finite orthogonal groups of even characteristic (2010) (12)
- A problem of Kollar and Larsen on finite linear groups and crepant resolutions (2010) (12)
- Fields of values of odd-degree irreducible characters (2019) (11)
- Symmetric and alternating powers of Weil representations of finite symplectic groups (2018) (11)
- Real groups and Sylow 2-subgroups (2016) (11)
- Classification of 2F-modules, II (2004) (11)
- Finitep′-Semiregular Groups (1997) (11)
- The modulo 2 structure of rank 3 permutation modules for odd characteristic symplectic groups (2003) (11)
- The fields of values of characters of degree not divisible by p (2021) (10)
- Symplectic groups, symplectic spreads, codes, and unimodular lattices (1997) (10)
- p-Steinberg Characters of Finite Simple Groups (1997) (10)
- Irreducible restrictions of representations of symmetric groups in small characteristics: reduction theorems (2018) (10)
- Non-abelian Littlewood-Offord inequalities (2015) (10)
- Tensor product Markov chains (2018) (10)
- Hall–Higman‐type theorems for semisimple elements of finite classical groups (2008) (9)
- Characters of p′-degree with cyclotomic field of values (2006) (9)
- Probabilistic Waring problems for finite simple groups (2018) (9)
- Rigid local systems with monodromy group the Conway group Co3 (2018) (9)
- On a question of Farjoun (2004) (9)
- Weil representations of finite general linear groups and finite special linear groups (2015) (8)
- Cross characteristic representations of 3 D 4(q) are reducible over proper subgroups (2008) (8)
- Brauer Characters of Prime Power Degrees and Conjugacy Classes of Prime Power Lengths (2010) (8)
- Adequate subgroups and indecomposable modules (2014) (8)
- Symplectic group lattices (1999) (8)
- On p-Brauer characters of p′-degree and self-normalizing Sylow p-subgroups (2010) (8)
- Problems on characters and Sylow subgroups (2004) (8)
- Extensions for finite groups of Lie type: twisted groups (2004) (8)
- Regular orbits of induced modules of finite groups (2004) (8)
- Congruences for Certain Theta Series (1998) (7)
- On the diameters of McKay graphs for finite simple groups (2019) (7)
- Rigid local systems and finite symplectic groups (2019) (7)
- On fully ramified Brauer characters (2014) (7)
- Irreducible characters of 3′-degree of finite symmetric, general linear and unitary groups (2017) (7)
- Rational Brauer characters (2006) (7)
- On the restriction of cross characteristic representations of 2F4(q) to proper subgroups (2009) (7)
- Rigid local systems and alternating groups (2017) (7)
- Finite groups whose same degree characters are Galois conjugate (2013) (7)
- Coprime actions and correspondences of Brauer characters (2017) (6)
- Finite groups with odd Sylow normalizers (2016) (6)
- Local systems and finite unitary and symplectic groups (2019) (6)
- Rigid local systems with monodromy group the Conway group Co2 (2018) (6)
- Lusztig induction, unipotent supports, and character bounds (2018) (6)
- Irreducible characters of even degree and normal Sylow 2-subgroups (2016) (6)
- Brauer characters and rationality (2014) (5)
- The average character degree and an improvement of the Itô-Michler theorem (2019) (5)
- Thep-Intersection Subgroups in Quasi-Simple and Almost Simple Finite Groups☆ (1998) (5)
- Moments of Weil representations of finite special unitary groups (2020) (5)
- A rigid local system with monodromy group the big Conway group $2.\mathsf {Co}_1$ and two others with monodromy group the Suzuki group $6.{{Suz}}$ (2019) (5)
- Character ratios, representation varieties and random generation of finite groups of Lie type (2018) (5)
- Degrees and p‐rational characters (2012) (5)
- Sectional rank and cohomology (2018) (5)
- Bounding numbers and heights of characters in p-constrained groups (2004) (5)
- The Waring Problem for Finite Quasisimple Groups. II (2013) (5)
- Exponential sums and total Weil representations of finite symplectic and unitary groups (2020) (5)
- Adequate groups of low degree (2013) (5)
- Irreducible restrictions of representations of symmetric and alternating groups in small characteristics (2019) (5)
- The number of finite p-groups with bounded number of generators (2004) (4)
- Representation of finite groups: conjectures, reductions, and applications (2014) (4)
- Order of products of elements in finite groups (2018) (4)
- Nonsolvable Groups have a Large Proportion of Vanishing Elements (2022) (4)
- Some observations on products of characters of finite classical groups (2004) (4)
- Products of normal subsets and derangements (2020) (4)
- On the real Schur indices associated with infinite Coxeter groups (2004) (4)
- Just infinite periodic Lie algebras (2004) (4)
- A REFINED WARING PROBLEM FOR FINITE SIMPLE GROUPS (2013) (3)
- Heights of characters and defect groups (2004) (3)
- Splitting fields for Jordan subgroups (1997) (3)
- THE PRIMITIVE P-FROBENIUS GROUPS (1998) (3)
- Character Levels and Character Bounds. II (2019) (3)
- Hall-Higman type theorems for exceptional groups of Lie type, I (2021) (3)
- Reducibility modulo p of complex representations of finite groups of lie type: Asymptotical result and small characteristic cases (2002) (3)
- Machine-Assisted Proofs (ICM 2018 Panel) (2018) (3)
- Monodromy groups of certain Kloosterman and hypergeometric sheaves (2020) (3)
- Hypergeometric sheaves and finite symplectic and unitary groups (2021) (3)
- THE α -INVARIANT AND THOMPSON’S CONJECTURE (2016) (3)
- An extension of Thompson’s Replacement Theorem by algebraic group methods (2004) (3)
- Chapter 7 Orthogonal decompositions of semisimple associative algebras (1994) (3)
- Rigid local systems and finite general linear groups (2020) (3)
- McKay graphs for alternating and classical groups (2020) (3)
- Rank invariance and automorphisms of generalized Kac-Moody superalgebras (2004) (2)
- Monodromy groups of Kloosterman and hypergeometric sheaves (2021) (2)
- Invariant lattices of type f4 and e6: The automorphism groups (2007) (2)
- Finite Simple Groups: Thirty Years of the Atlas and Beyond (2017) (2)
- Lower bounds for dimensions of irreducible representations of symmetric groups (2019) (2)
- A classification of the irreducible orthogonal decompositions of the simple complex lie algebras of type Bn (1991) (2)
- Ovals in finite projective planes via the representation theory of the symmetric group (2004) (2)
- A classification of Weyl groups as finite {3, 4}-transposition groups (2004) (2)
- RIGID LOCAL SYSTEMS , MOMENTS , AND FINITE UNITARY GROUPS (2018) (2)
- On the Schur indices of cuspidal unipotent characters (2004) (2)
- New versions of Schur–Weyl duality (2004) (2)
- Globally irreducible representations of SL3(q) and SU3(q) (1999) (2)
- Decomposition numbers and local properties (2020) (1)
- REPRESENTATIONS OF FINITE GROUPS AND APPLICATIONS (2019) (1)
- On 2-Brauer characters of odd degree (2018) (1)
- Odd-degree Rational Irreducible Characters (2021) (1)
- ON ALPERIN’S LOWER BOUND FOR THE NUMBER OF BRAUER CHARACTERS (2022) (1)
- Chapter 5 Classification of irreducible orthogonal decompositions of complex simple Lie algebras of type An (1994) (1)
- Character bounds for regular semisimple elements and asymptotic results on Thompson’s conjecture (2022) (1)
- Some conjectures on Frobenius' character sum (2017) (1)
- Bounding p-Brauer characters in finite groups with two conjugacy classes of p-elements (2021) (1)
- THE ${\it\alpha}$ -INVARIANT AND THOMPSON’S CONJECTURE (2016) (1)
- Simple connectedness of the geometry of nondegenerate subspaces of a symplectic space over arbitrary fields (2004) (1)
- On Real and Rational Characters in Blocks (2019) (1)
- The signalizer method (2004) (1)
- Irreducible restrictions of representations of alternating groups in small characteristics: Reduction theorems (2019) (1)
- Subgroup Structure and Representations of Finite and Algebraic Groups (2015) (1)
- P-Parts of Brauer character degrees (2014) (1)
- Finite P 0 -semiregular Groups (1997) (1)
- 3-Signalizers in almost simple groups (2004) (1)
- A remark on a theorem of P. de la Harpe and V. F. R. Jones (1996) (1)
- G R ] 3 1 O ct 2 01 3 NILPOTENT AND ABELIAN HALL SUBGROUPS IN FINITE GROUPS (2021) (0)
- Finite groups with many values in a column of the character table (2017) (0)
- Chapter 1 Type An (1994) (0)
- The Field of Values of the Height Zero Characters (2023) (0)
- R T ] 3 0 Se p 20 18 Tensor Product Markov Chains (0)
- Representation of finite groups: conjectures, reductions, and applications (2014) (0)
- Irreducible restrictions of representations of symmetric groups in small characteristics: reduction theorems (2018) (0)
- Products of derangements in simple permutation groups (2022) (0)
- Ju l 2 01 9 Lusztig Induction , Unipotent Supports , and Character Bounds (0)
- Irreducible induction and nilpotent subgroups in finite groups (2019) (0)
- Chapter 11 The types B2m-1 and D2m (1994) (0)
- Chapter 12 Invariant lattices of types F4 and E6, and the finite simple groups L4(3) , Ω7(3) , Fi22 (1994) (0)
- Enumerating highly non-soluble groups (2004) (0)
- On 2-Brauer characters of odd degree (2018) (0)
- Chapter 8 Invariant lattices of type G2 and the finite simple group G2(3) (1994) (0)
- Representations and Tensor Product Growth (2021) (0)
- On the diameters of McKay graphs for finite simple groups (2021) (0)
- Chapter 2 The types Βn, Cn and Dn (1994) (0)
- Chapter 9 Invariant lattices, the Leech lattice and even unimodular analogues of it in Lie algebras of type Ap-1 (1994) (0)
- Powerful subgroups of 2-groups (2004) (0)
- Characteristic covering numbers of finite simple groups (2021) (0)
- Radical subgroups and p-local ranks (2004) (0)
- Chapter 10 Invariant lattices of type Apm-1 (1994) (0)
- MACHINE-ASSISTED PROOFS (2019) (0)
- Decomposition numbers and global properties (0)
- Subgroup Structure and Representations of Finite and Algebraic Groups (2015) (0)
- Irreducible representations of odd degree (2015) (0)
- Brauer characters and rationality (2013) (0)
- Classification of buildings (2004) (0)
- Primes and degrees of Brauer characters (2022) (0)
- Chapter 4 Irreducible orthogonal decompositions of Lie algebras with special Coxeter number (1994) (0)
- Chapter 3 Jordan subgroups and orthogonal decompositions (1994) (0)
- LOCAL SYSTEMS AND SUZUKI GROUPS (2022) (0)
- Linear groups and conjectures of Kollar and Larsen (2012) (0)
- Chapter 13 Invariant lattices of type E8 and the finite simple groups F3, L4(5) (1994) (0)
- Odd-degree Rational Irreducible Characters (2021) (0)
- Surjective word maps and Burnside’s paqb\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p^aq^b$$\end{document} theorem (2018) (0)
- Chapter 14 Other lattice constructions (1994) (0)
- On the solvability of the kernel of any orthogonal decomposition (1996) (0)
- The conjugation representation of the binary modular congruence group (2023) (0)
- EXTENDING PALFY’S THEOREM ON PRIME DIVISORS OF CHARACTER DEGREES ALEXANDER MORETÓ AND PHAM HUU TIEP (2009) (0)
- Level, rank, and tensor growth of representations of symmetric groups (2022) (0)
- On the classifying space and cohomology of Thompson’s sporadic simple group (2004) (0)
- An Erd\H{o}s-Ko-Rado theorem for finite 2-transitive groups (2015) (0)
- Character Ratios for Exceptional Groups of Lie Type (2019) (0)
- Symmetric Powers (2023) (0)
- Cross characteristic representations of odd characteristic symplectic groups and unitary groups (vol 299, pg 443, 2006) (2006) (0)
- On irreducible products of characters (2021) (0)
- Finite groups whose same degree characters are Galois conjugate (2013) (0)
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