Nikolai Vavilov
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(Suggest an Edit or Addition)Nikolai Vavilov's Published Works
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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
- REPRESENTATIONS OF FINITE GROUPS OF LIE TYPE (London Mathematical Society Student Texts 21) (1995) (136)
- Chevalley groups over commutative rings: I. Elementary calculations (1996) (124)
- Decomposition of Transvections: A Theme with Variations (2000) (119)
- K1 of Chevalley groups are nilpotent (2003) (106)
- Structure of Hyperbolic Unitary Groups I: Elementary Subgroups (2000) (104)
- A third look at weight diagrams (2000) (81)
- Visual Basic Representations An Atlas (1998) (65)
- Groups of Lie Type and their Geometries: Intermediate subgroups in Chevalley groups (1995) (62)
- Bak's work on the K-theory of rings (2009) (58)
- Normality for elementary subgroup functors (1995) (58)
- Structure of Chevalley groups: The proof from the book (2007) (45)
- An a3-Proof of Structure Theorems for Chevalley Groups of Types E6 and E7 (2007) (43)
- Localization–completion strikes again: Relative K1 is nilpotent by abelian (2009) (42)
- An ₂-proof of structure theorems for Chevalley groups of types ₆ and ₇ (2005) (38)
- The yoga of commutators (2011) (37)
- Standard commutator formula (2008) (37)
- On the length of commutators in Chevalley groups (2011) (36)
- Can one see the signs of structure constants (2008) (35)
- Chevalley groups of type E6 in the 27-dimensional representation (2007) (34)
- Commutator width in Chevalley groups (2012) (33)
- A note on the subnormal structure of general linear groups (1990) (30)
- Net subgroups of Chevalley groups (1982) (27)
- Relative unitary commutator calculus, and applications (2009) (27)
- Normalizer of the Chevalley group of type $E_7$ (2008) (26)
- Parabolic subgroups of Chevalley groups over a commutative ring (1984) (26)
- Relative commutator calculus in Chevalley groups (2011) (26)
- Weight elements of Chevalley groups (2008) (25)
- Do It Yourself: the Structure Constants for Lie Algebras of Types El (2004) (25)
- OVERGROUPS OF ELEMENTARY SYMPLECTIC GROUPS (2004) (24)
- proof of structure theorems for Chevalley groups of type (2009) (23)
- Generation of relative commutator subgroups in Chevalley groups (2012) (22)
- Relative subgroups in Chevalley groups (2010) (22)
- An introduction to noncommutative deformations of modules (2006) (20)
- Linear groups over general rings. I. Generalities (2013) (20)
- Subgroups of split orthogonal groups over a ring (1988) (20)
- Subgroups of the general symplectic group containing the group of diagonal matrices (1984) (19)
- On the lattice of subgroups of chevalley groups containing a split maximal torus (1996) (19)
- Subgroups of Split Orthogonal Groups over a Commutative Ring (2004) (19)
- Gauss decomposition for Chevalley groups, revisited (2011) (18)
- Standard commutator formula, revisited (2010) (18)
- On the Overgroups of EO(2l,R) (2003) (18)
- The Yoga of Commutators: Further Applications (2014) (17)
- Unitriangular factorizations of chevalley groups (2012) (16)
- Multiple commutator formulas for unitary groups (2012) (16)
- Parabolic subgroups of Chevalley groups over a semilocal ring (1987) (15)
- Numerology of square equations (2009) (15)
- OVERGROUPS OF EO ( n , R ) (15)
- Triples of long root subgroups (2007) (15)
- The Commutators of Classical Groups (2015) (15)
- Calculations in exceptional groups over rings (2010) (14)
- Polyvector representations of GLn (2007) (13)
- Basic reductions in the description of normal subgroups (2008) (13)
- Unrelativized Standard Commutator Formula (2019) (12)
- Bruhat decomposition for long root tori in Chevalley groups (1991) (12)
- Subgroups of split orthogonal groups (1988) (11)
- More variations on the decomposition of transvections (2010) (11)
- Commutators of relative and unrelative elementary subgroups in Chevalley groups (2020) (10)
- Generation of relative commutator subgroups in Chevalley groups. II (2012) (10)
- Bruhat decomposition for subgroups containing the group of diagonal matrices (1984) (10)
- Chevalley groups of type E7 in the 56-dimensional representation (2012) (10)
- Overgroups of $\mathrm{EO}(n,R)$ (2008) (9)
- COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: Linear groups generated by one-parameter groups of one-dimensional transformations (1989) (9)
- Some more exceptional numerology (2010) (9)
- Long root tori in Chevalley groups (2013) (8)
- Unipotent Elements in Subgroups Which Contain a Split Maximal Torus (1995) (8)
- Subgroups of symplectic groups that contain a subsystem subgroup (2008) (8)
- Overgroups of Subsystem Subgroups in Exceptional Groups: Levels (2013) (8)
- Commutators of Congruence Subgroups in the Arithmetic Case (2020) (8)
- A conjugacy theorem for subgroups of $GL_n$ containing the group of diagonal matrices (1987) (8)
- Multiple commutators of elementary subgroups: end of the line (2019) (7)
- Commutators of Relative and Unrelative Elementary Groups, Revisited (2020) (7)
- Yet another variation on the theme of decomposition of transvections (2008) (7)
- Presenting Powers Of Augmentation Ideals and Pfister Forms Dedicated to Professor Daniel Quillen on his Sixtieth Birthday (2000) (7)
- Parabolic factorizations of split classical groups (2012) (7)
- Description of subgroups of the full linear group over a semilocal ring that contain the group of diagonal matrices (1981) (6)
- Dennis–Vaserstein type decompositions (2010) (6)
- Towards the Reverse Decomposition of Unipotents (2019) (6)
- Normalizer of the Chevalley group of type ${\operatorname E}_7$ (2016) (6)
- Bounded generation and commutator width of Chevalley groups: function case (2022) (6)
- ₃-proof of structure theorems for Chevalley groups of types ₆ and ₇ II. Main lemma (2012) (6)
- Decomposition of Unipotents for E6 and E7: 25 Years After (2016) (6)
- GEOMETRY OF 1-TORI IN GLn (2007) (5)
- Commutators of relative and unrelative elementary unitary groups (2020) (5)
- Parabolic congruence subgroups in linear groups (1981) (5)
- Geometry of 1-tori in _{} (2008) (5)
- Normal structure of the full linear group over a semilocal ring (1982) (5)
- Reshaping the metaphor of proof (2019) (5)
- Noncommutative Algebra and Geometry (2005) (5)
- Toward the Reverse Decomposition of Unipotents. II. The Relative Case (2021) (5)
- Net subgroups of Chevalley groups. II. Gauss decomposition (1984) (5)
- Decomposition of transvections for automorphisms (2009) (4)
- Unitriangular factorisations of Chevalley groups (2011) (4)
- Grothendieck-Serre Conjecture I: Appendix (2009) (4)
- Inclusion among commutators of elementary subgroups. (2019) (4)
- Parabolic subgroups of the full linear group over a Dedekind ring of arithmetical type (1982) (4)
- SL2-factorizations of Chevalley groups (2013) (3)
- Subgroups of the full linear group over a semilocal ring (1987) (3)
- Subgroups of SLn over a semilocal ring (2007) (3)
- On the description of overgroups of E(m,R)⊗E(n,R) (2009) (3)
- Parabolic subgroups of twisted Chevalley groups over a semilocal ring (1982) (3)
- Definition of a net subgroup (1985) (3)
- Determinants in net subgroups (1984) (2)
- Relative and unrelative elementary groups, revisited (2019) (2)
- Thirteen Papers in Algebra (1986) (2)
- A Bruhat decomposition for subgroups containing the group of diagonal matrices. II (1984) (2)
- COMMUTATORS OF ELEMENTARY SUBGROUPS: CURIOUSER AND CURIOUSER (2020) (2)
- Localizationcompletion strikes again: Relative K 1 is nilpotent by abelian (2009) (2)
- On subgroups normalized by EO(2l, R) (2011) (2)
- Subgroups of the full linear group over a Dedekind ring (1982) (2)
- Parabolic subgroups of SLn and Sp2l over a Dedekind ring of arithmetic type (2010) (1)
- Computational group theory in St. Petersburg (1999) (1)
- Self-normalizing nilpotent subgroups of the full linear group over a finite field (1981) (1)
- Subgroups of the Split Orthogonal Group. II (2002) (1)
- Pairs of microweight tori in GL 𝑛 (1)
- A3-PROOF OF STRUCTURE THEOREMS FOR CHEVALLEY GROUPS OF TYPES E6 AND E7 II. MAIN LEMMA (2012) (1)
- Subgroups of a spinor group containing a maximal split torus. I (1993) (1)
- Orbits of subsystem stabilizers (2007) (1)
- Decomposition of Unipotents for E6 and E7: 25 Years After (2016) (1)
- Overgroups of (,)⊗(,) I. Levels and normalizers (2012) (1)
- Subgroups of the Spinor Group that Contain a Split Maximal Torus. II (2004) (1)
- Calculations in Exceptional Groups, an Update (2015) (1)
- The Yoga of Commutators: Further Applications (2014) (0)
- Relative centralisers of relative subgroups (2020) (0)
- SL2-factorizations of Chevalley groups (2013) (0)
- Computers as Novel Mathematical Reality. IV. Goldbach Problem (2021) (0)
- Computers as Fresh Mathematical Reality. I. Personal account (2020) (0)
- Computers as novel mathematical reality: V. Easier Waring problem (2022) (0)
- Multiple commutator formulas for unitary groups (2017) (0)
- Unitriangular factorizations of chevalley groups (2012) (0)
- Parabolic Subgroups of SO2l Over a Dedekind Ring of Arithmetic Type (2013) (0)
- DECOMPOSITION OF TRANSVECTIONS : A THEME WITH (1998) (0)
- Computers as Fresh Mathematical Reality. II. Waring Problem (2020) (0)
- NORMALIZERS OF CLASSICAL GROUPS (2019) (0)
- Overgroups of Subsystem Subgroups in Exceptional Groups: Levels (2013) (0)
- Anatolii Vladimirovich Yakovlev (on the occasion of his 70th birthday) (2010) (0)
- To the anniversary of Sergei Vladimirovich Vostokov (2016) (0)
- TSUKUBA WORKSHOP ON INFINITE-DIMENSIONAL LIE THEORY AND RELATED TOPICS (2014) (0)
- Reverse Decomposition of Unipotents (2018) (0)
- Parabolic Subgroups of SO2l Over a Dedekind Ring of Arithmetic Type (2013) (0)
- Relative Centralizers of Relative Subgroups (2022) (0)
- Calculations in Exceptional Groups, an Update (2015) (0)
- Localizationcomp letionstrikesagain:Relative K 1 isnilpotentbyabelian (2009) (0)
- Net determinant over a Bezoutian local ring (1984) (0)
- The Commutators of Classical Groups (2017) (0)
- RING OF ARITHMETICAL TYPE (2006) (0)
- Valentin Evgen'evich Voskresenskii (obituary) (2014) (0)
- Linear groups over general rings. I. Generalities (2013) (0)
- Subgroups of the full symplectic group containing the group of diagonal matrices. II (1985) (0)
- Chevalley groups of type E7 in the 56-dimensional representation (2011) (0)
- COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: On subgroups of the unitary group over a semilocal ring (1982) (0)
- Variations on a Theme of Higman (2004) (0)
- Computers as novel mathematical reality. III. Mersenne numbers and divisor sums (2020) (0)
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