E. Plotkin

发表

ENGEL-LIKE IDENTITIES CHARACTERIZING FINITE SOLVABLE GROUPS

G. Greuel, G. Pfister, F. Grunewald, 2003, math/0303165.

Engel-like Identities Characterizing Finite Solvable Groups Contents 1. Introduction 1 1.1. Statement of the Problem and Main Results 1 1.2. Analogues, Problems, and Generalizations 2

G. Greuel, G. Pfister, F. Grunewald, 2003 .

Bounded generation and commutator width of Chevalley groups: function case

B. Kunyavskii, E. Plotkin, N. Vavilov, 2022, 2204.10951.

On the Stability of the K -Functor for Chevalley

E. Plotkin, 1998 .

On the Stability of theK1-Functor for Chevalley Groups of Type E7

E. Plotkin, 1998 .

Surjective stability for the K1-functor for some exceptional chevalley groups

E. Plotkin, 1993 .

Baer–Suzuki theorem for the solvable radical of a finite group

F. Grunewald, B. Kunyavskii, E. Plotkin, 2009 .

On first order rigidity for linear groups

E. Plotkin, 2020, 2010.03989.

ALGEBRAIC LOGIC AND LOGICALLY-GEOMETRIC TYPES IN VARIETIES OF ALGEBRAS

B. Plotkin, E. Plotkin, E. Aladova, 2011, 1108.0573.

Bounded generation and commutator width of Chevalley groups: function case

B. Kunyavskii, E. Plotkin, N. Vavilov, 2022, European Journal of Mathematics.

Universal Algebraic Geometry: Syntax and Semantics

B. Plotkin, E. Plotkin, A. Gvaramia, 2022, Journal of Mathematical Sciences.

A commutator description of the solvable radical of a finite group

F. Grunewald, B. Kunyavskii, E. Plotkin, 2006, math/0610983.

ENGEL-LIKE IDENTITIES CHARACTERIZING FINITE SOLVABLE GROUPS

G. Greuel, G. Pfister, F. Grunewald, 2003, math/0303165.

Engel-like characterization of radicals in finite dimensional Lie algebras and finite groups

F. Grunewald, B. Kunyavskii, T. Bandman, 2004, math/0411463.

Geometry of word equations in simple algebraic groups over special fields

B. Kunyavskii, E. Plotkin, N. Gordeev, 2018, Russian Mathematical Surveys.

Elementary equivalence of Kac-Moody groups

Eugene Plotkin, Jun Morita, E. Plotkin, 2021, 2103.04575.

Prescribed Gauss decompositions for Kac-Moody groups over fields

E. Plotkin, Jun Morita, 2001 .

Gauss decompositions of kac-moody groups

E. Plotkin, Jun Morita, 1999 .

Visual Basic Representations An Atlas

Andrei Semenov, Eugene Plotkin, Nikolai Vavilov, 1998, Int. J. Algebra Comput..

Word maps in Kac-Moody setting

B. Kunyavskii, E. Plotkin, E. Klimenko, 2015, 1506.01422.

A description of Baer-Suzuki type of the solvable radical of a finite group

F. Grunewald, B. Kunyavskii, E. Plotkin, 2009 .

Groups, Algebras and Identities

E. Plotkin, 2019, Contemporary Mathematics.

Multi-Sorted Logic and Logical Geometry: Some Problems

B. Plotkin, E. Plotkin, 2014, 1406.3076.

Geometrical equivalence of groups

B. Plotkin, E. Plotkin, A. Tsurkov, 1999 .

Algebraic geometry in varieties of algebras with the given algebra of constants

A. Bērziņš, B. Plotkin, E. Plotkin, 2000 .

Chevalley groups over commutative rings: I. Elementary calculations

E. Plotkin, N. Vavilov, 1996 .

CHEVALLEY GROUPS OVER COMMUTATIVE RINGSI

E. Plotkin, 2007 .

Characterization of Solvable Groups and Solvable radical

Fritz Grunewald, Eugene Plotkin, Boris Kunyavskii, 2013, Int. J. Algebra Comput..

ON ONE QUESTION OF H.BASS FOR CHEVALLEY GROUPS OF TYPE E7

E. Plotkin, 2022 .

The Diophantine problem in Chevalley groups

E. Plotkin, E. Bunina, A. Miasnikov, 2023, Journal of Algebra.

Net subgroups of Chevalley groups. II. Gauss decomposition

E. Plotkin, N. Vavilov, 1984 .

Automorphisms of categories of free algebras of varieties

Eugene Plotkin, B. Plotkin, G. Mashevitzky, 2002 .

Thompson-like characterizations of the solvable radical ✩

R. Guralnick, A. Shalev, B. Kunyavskii, 2006 .

Elementary equivalence of Kac-Moody groups

E. Plotkin, Jun Morita, 2021, 2103.04575.

Word maps on perfect algebraic groups

Eugene Plotkin, Nikolai Gordeev, Boris Kunyavskii, 2018, Int. J. Algebra Comput..

Word equations in simple groups and polynomial equations in simple algebras

A. Kanel-Belov, B. Kunyavskii, E. Plotkin, 2013, 1304.5052.

2 4 A pr 2 01 8 WORD MAPS ON PERFECT ALGEBRAIC GROUPS

B. Kunyavskii, E. Plotkin, N. Gordeev, 2022 .

Word maps, word maps with constants and representation varieties of one-relator groups

B. Kunyavskii, E. Plotkin, N. Gordeev, 2017, 1801.00379.

Equations in simple Lie algebras

B. Kunyavskii, T. Bandman, E. Plotkin, 2010, 1012.4106.

From Thompson to Baer-Suzuki: A sharp characterization of the solvable radical

F. Grunewald, B. Kunyavskii, E. Plotkin, 2009, 0902.1912.

Identities for finite solvable groups and equations in finite simple groups

G. Greuel, G. Pfister, F. Grunewald, 2006, Compositio Mathematica.

Two-variable identities for finite solvable groups

G. Greuel, G. Pfister, F. Grunewald, 2003 .

Action of endomorphism semigroups on definable sets

Boris I. Plotkin, Eugene Plotkin, Grigory Mashevitzky, 2018, Int. J. Algebra Comput..

TWO-VARIABLE IDENTITIES IN GROUPS AND LIE

B. Kunyavskii, E. Plotkin, D. Nikolova, 2003 .

Isotypeness of Models and Knowledge Bases Equivalence

Tatjana L. Plotkin, Eugene Plotkin, Elena Aladova, 2013, Math. Comput. Sci..

Uniform bounded elementary generation of Chevalley groups

B. Kunyavskii, E. Plotkin, N. Vavilov, 2023, 2307.15756.

Bounded generation of Steinberg groups over Dedekind rings of arithmetic type

B. Kunyavskii, E. Plotkin, N. Vavilov, 2023, 2307.05526.

Isotypeness of Models and Knowledge Bases Equivalence

E. Plotkin, T. Plotkin, E. Aladova, 2013, Mathematics in Computer Science.

Burnside-Type Problems Related to Solvability

Aner Shalev, Robert M. Guralnick, Eugene Plotkin, 2007, Int. J. Algebra Comput..

Two-Variable Identities in Groups and Lie Algebras

F. Grunewald, B. Kunyavskii, E. Plotkin, 2003 .

On the number of conjugates defining the solvable radical of a finite group

F. Grunewald, B. Kunyavskii, E. Plotkin, 2006 .

Thompson-like characterization of the solvable radical

R. Guralnick, A. Shalev, B. Kunyavskii, 2005 .

Net subgroups of Chevalley groups

E. Plotkin, N. Vavilov, 1982 .