Aner Shalev
#36,224
Most Influential Person Now
Israeli mathematician
Aner Shalev's AcademicInfluence.com Rankings
Aner Shalevmathematics Degrees
Mathematics
#1951
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#3092
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Algebra
#122
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#196
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Measure Theory
#2890
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#3436
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Mathematics
Why Is Aner Shalev Influential?
(Suggest an Edit or Addition)According to Wikipedia, Aner Shalev is a professor at the Einstein Institute of Mathematics at the Hebrew University of Jerusalem, and a writer. Biography Shalev was born in Kibbutz Kinneret and grew up in Beit Berl. He moved to Jerusalem at 18 to study mathematics and philosophy at the Hebrew University, and since then, excluding some years abroad, he has been living mainly in Jerusalem.
Aner Shalev'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)
- Diameters of finite simple groups: sharp bounds and applications (2001) (151)
- Simple groups, permutation groups, and probability (1999) (138)
- New Horizons in pro-p Groups (2000) (127)
- Classical groups, probabilistic methods, and the (2,3)-generation problem (1996) (123)
- Word maps, conjugacy classes, and a noncommutative Waring-type theorem (2009) (119)
- The probability of generating a finite simple group (1995) (101)
- Fuchsian groups, coverings of Riemann surfaces, subgroup growth, random quotients and random walks (2004) (99)
- Word maps and Waring type problems (2007) (95)
- The Waring problem for finite simple groups (2011) (94)
- Character Degrees and Random Walks in Finite Groups of Lie Type (2005) (93)
- Fuchsian groups, finite simple groups and representation varieties (2005) (85)
- Hausdorff dimension, pro-$p$ groups, and Kac-Moody algebras (1997) (74)
- Base sizes for simple groups and a conjecture of Cameron (2009) (73)
- Commutator maps, measure preservation, and T-systems (2007) (71)
- Simple Groups, Probabilistic Methods, and a Conjecture of Kantor and Lubotzky (1996) (66)
- The structure of finitep-groups: Effective proof of the coclass conjectures (1994) (65)
- Characters of symmetric groups: sharp bounds and applications (2008) (64)
- Narrow Lie Algebras: A Coclass Theory and a Characterization of the Witt Algebra (1997) (61)
- Finite p-Groups (1995) (59)
- On the girth of random Cayley graphs (2007) (57)
- Simple groups, maximal subgroups, and probabilistic aspects of profinite groups (1996) (54)
- On Almost Fixed Point Free Automorphisms (1993) (52)
- Combinatorial Conditions in Residually Finite Groups, II (1993) (51)
- Counting arithmetic lattices and surfaces (2008) (50)
- On the number of generators of ideals in local rings (1986) (49)
- On some Λ-analytic pro-p groups (1994) (48)
- Thompson-like characterizations of the solvable radical ✩ (2006) (48)
- The hidden subgroup problem and permutation group theory (2004) (47)
- Maximal subgroups in finite and profinite groups (1996) (46)
- Products of squares in finite simple groups (2011) (43)
- Some Results and Problems in the Theory of Word Maps (2013) (41)
- The Lie Structure of Enveloping Algebras (1993) (40)
- Commutators in finite quasisimple groups (2011) (39)
- Restricted Lie Algebras and Their Envelopes (1995) (38)
- Maximal Subgroups of Symmetric Groups (1996) (38)
- On conjugacy classes of maximal subgroups of finite simple groups, and a related zeta function (2005) (37)
- Lie Dimension Subgroups, Lie Nilpotency Indices, and the Exponent of the Group of Normalized Units (1991) (37)
- Commutators, Words, Conjugacy Classes and Character Methods (2007) (36)
- Fibers of word maps and some applications (2012) (35)
- Lie Methods in the Theory of pro-p Groups (2000) (35)
- On groups with bounded conjugacy classes (1999) (33)
- The Entropy of Graded Algebras (2000) (32)
- Residual properties of free groups and probabilistic methods (2003) (32)
- Growth Functions, p‐Adic Analytic Groups, and Groups of Finite Coclass (1992) (30)
- Pro-p groups of finite coclass (1992) (30)
- Simple Lie algebras and Lie algebras of maximal class (1994) (30)
- Automorphisms of finite groups of bounded rank (1993) (30)
- On the Spread of Finite Simple Groups (2003) (30)
- Dimension subgroups, nilpotency indices, and the number of generators of ideals in p-group algebras☆ (1990) (29)
- On a conjecture of G.E. Wall (2007) (29)
- Waring Problem for Finite Quasisimple Groups (2011) (27)
- The Waring problem for Lie groups and Chevalley groups (2014) (27)
- Profinite groups with restricted centralizers (1994) (27)
- Bases of primitive linear groups (2002) (26)
- A Theorem on Random Matrices and Some Applications (1998) (26)
- Asymptotic Results for Primitive Permutation Groups (1997) (24)
- The nilpotency class of the unit group of a modular group algebra I (1990) (24)
- Bases for Primitive Permutation Groups and a Conjecture of Babai (1998) (24)
- Characterization of p-adic analytic groups in terms of wreath products (1992) (23)
- Narrow algebras and groups (1999) (23)
- Polynomial identities in graded group rings, restricted Lie algebras and p-adic analytic groups (1993) (23)
- The derived length of Lie soluble group rings I (1992) (23)
- Invariable generation of infinite groups (2014) (22)
- Discrete groups of slow subgroup growth (1996) (22)
- Mixing and generation in simple groups (2008) (21)
- Recognizing simplicity of black-box groups and the frequency of p-singular elements in affine groups (2008) (21)
- Random (r, s)–Generation of Finite Classical Groups (2002) (20)
- Surjective word maps and Burnsides $p^aq^b$ theorem (2015) (19)
- Iterative Construction of Cayley Expander Graphs (2006) (19)
- Groups of Lie type as products of SL2 subgroups (2011) (17)
- Meta-abelian unit groups of group algebras are usually abelian (1991) (17)
- A new family of Cayley expanders (?) (2004) (17)
- Permutation groups, minimal degrees and quantum computing (2006) (17)
- Graded subalgebras of affine Kac-Moody algebras (1998) (17)
- Random Generation of Finite Simple Groups (1999) (17)
- On the Distribution of Values of Certain Word Maps (2013) (16)
- Character bounds for finite groups of Lie type (2017) (16)
- Probabilistically nilpotent groups (2018) (16)
- The nilpotency class of the unit group of a modular group algebra II (1990) (15)
- On associative algebras satisfying the Engel condition (1989) (15)
- Powers in Finitely Generated Groups (1996) (15)
- Groups with fractionally exponential subgroup growth (1993) (15)
- Generation and random generation: From simple groups to maximal subgroups (2013) (14)
- The nilpotency class of the unit group of a modular group algebra III (1993) (14)
- On the Fixity of Linear Groups (1994) (14)
- Product decompositions in finite simple groups (2011) (14)
- Word values in p‐adic and adelic groups (2013) (13)
- CENTRALIZERS IN RESIDUALLY FINITE TORSION GROUPS (1998) (13)
- Profinite Groups with Polynomial Subgroup Growth (1997) (13)
- Surjective word maps and Burnside’s $$p^aq^b$$paqb theorem (2015) (12)
- Residual properties of the modular group and other free products (2003) (12)
- Burnside-Type Problems Related to Solvability (2007) (12)
- Bounds on finite quasiprimitive permutation groups (2001) (12)
- On the degree of groups of polynomial subgroup growth (1999) (12)
- Groups with super-exponential subgroup growth (1996) (12)
- The orders of nonsingular derivations (1999) (11)
- Some problems and results in the theory of pro-p groups (1995) (11)
- Groups St Andrews 1997 in Bath: Probabilistic group theory (1999) (11)
- A conjecture on product decompositions in simple groups (2010) (10)
- The segregation pattern of a translocation quadrivalent (1976) (10)
- The Baer condition for group algebras (1991) (10)
- The Fixity of Permutation Groups (1995) (10)
- Groups Whose Subgroup Growth is Less than Linear (1997) (9)
- Mixing, Communication Complexity and Conjectures of Gowers and Viola (2016) (9)
- Probabilistic Waring problems for finite simple groups (2018) (9)
- The depth of a finite simple group (2017) (9)
- On fixed points of elements in primitive permutation groups (2015) (8)
- The Derived Length of Lie Soluble Group Rings II (1994) (8)
- Subgroup Growth and Sieve Methods (1997) (8)
- Probabilistic Group Theory and Fuchsian Groups (2005) (7)
- Words and mixing times in finite simple groups (2011) (7)
- Thompson-like characterization of the solvable radical (2005) (7)
- On the diameters of McKay graphs for finite simple groups (2019) (7)
- On the length and depth of finite groups (2018) (7)
- Words, Hausdorff dimension and randomly free groups (2017) (7)
- Bases of primitive permutation groups (2002) (7)
- The length and depth of algebraic groups (2017) (7)
- Rapid growth in finite simple groups (2017) (6)
- Random Generation of Simple Groups by Two Conjugate Elements (1997) (6)
- Large Wreath Products in Modular Group Rings (1991) (6)
- The length and depth of compact Lie groups (2018) (6)
- The Number of Homomorphisms from a Finite Group to a General Linear Group (2004) (6)
- Character ratios, representation varieties and random generation of finite groups of Lie type (2018) (5)
- Permutation groups, simple groups, and sieve methods (2005) (5)
- Residual properties of groups and probabilistic methods (2001) (5)
- A probabilistic Tits alternative and probabilistic identities (2015) (5)
- The Fixity of Groups of Prime‐Power Order (1995) (5)
- Applications of dimension subgroups to the power structure ofp-groups (1991) (4)
- Fixed points of elements of linear groups (2011) (4)
- Powers in finite groups and a criterion for solubility (2013) (4)
- Products of normal subsets and derangements (2020) (4)
- Graded permutation modules and a theorem of Quillen (1994) (3)
- Zero-one generation laws for finite simple groups (2018) (3)
- Residual properties of free products of finite groups (2003) (3)
- UNISERIAL PERMUTATION MODULES (1991) (3)
- GENERATION OF SECOND MAXIMAL SUBGROUPS AND THE EXISTENCE OF SPECIAL PRIMES (2016) (3)
- McKay graphs for alternating and classical groups (2020) (3)
- Random generation of finite simple groups byp-regular orp-singular elements (2001) (3)
- Words, permutations, and the nonsolvable length of a finite group (2019) (3)
- Subgroup Structure, Fractal Dimension, and Kac-Moody Algebras (1998) (3)
- A new characterization of frobenius complements (1994) (2)
- Girth, words and diameter (2019) (2)
- Applications of random generation to residual properties of some infinite groups (2003) (2)
- Modular representations and almost free actions (1995) (2)
- A NOTE ON GROUPS OF PRIME EXPONENT (1991) (2)
- Almost independence and irreducibility in simple finite and algebraic groups (2017) (2)
- The density of representation degrees (2012) (1)
- Simple groups, interleaved products, complexity and conjectures of Gowers and Viola (2016) (1)
- Asymptotic Group Theory Aner (2001) (1)
- The Atlas of Finite Groups - Ten Years on: Probabilistic methods in the generation of finite simple groups (1998) (1)
- The sparsity of dimensions of irreducible representations of finite simple groups (2007) (1)
- Power sets and soluble subgroups (2014) (1)
- From braces to pre-Lie rings (2022) (1)
- Some conjectures on Frobenius' character sum (2017) (1)
- The length and depth of compact Lie groups (2019) (1)
- THE DENSITY OF SUBGROUP INDICES (2008) (1)
- Random generation of associative algebras (2020) (0)
- The length and depth of algebraic groups (2018) (0)
- Products of derangements in simple permutation groups (2022) (0)
- Permutation groups with restricted stabilizers (2020) (0)
- A partition result for algebraic varieties (1991) (0)
- חבורות מימד, דרגות נילפוטנטיות, ומספרי יוצרים של אידיאלים בחוגי חבורה מודולאריים. (Dimension subgroups, nilpotency indices, and the number of generators of idealsin modular group rings.) (1988) (0)
- Words, Hausdorff dimension and randomly free groups (2017) (0)
- Special issue in memory of Karl Walter Gruenberg (3 June 1928 – 10 October 2007) (2011) (0)
- The Waring problem for Lie groups and Chevalley groups (2015) (0)
- Profinite groups with linear subgroup growth (2006) (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)
- Residually finite dimensional algebras and polynomial almost identities (2020) (0)
- Corrigendum to ‘Mixing, Communication Complexity and Conjectures of Gowers and Viola’ (2017) (0)
- Almost pi algebras are pi (2019) (0)
- Asymptotic behavior of finite permutation groups acting on subsets (2005) (0)
- The length and depth of associative algebras (2020) (0)
- Characteristic covering numbers of finite simple groups (2021) (0)
- Identities with coefficients in simple compact Lie groups (2022) (0)
- Lie properties of modular group algebras (1991) (0)
- Rapid expansion in finite simple groups (2015) (0)
- G R ] 9 S ep 2 01 9 PROBABILISTIC WARING PROBLEMS FOR FINITE SIMPLE GROUPS (2019) (0)
- On the diameters of McKay graphs for finite simple groups (2021) (0)
- Simple groups, interleaved products and conjectures of Gowers and Viola (2016) (0)
- Representations and Tensor Product Growth (2021) (0)
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