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1

Primality testing through algebraic groups

Alexander Gurevich, Boris Kunyavskiĭ

Journal:

Archiv der Mathematik

Year:

2009

Language:

english

File:

PDF, 210 KB

english, 2009

2

Thompson-like characterizations of the solvable radical

Robert Guralnick, Boris Kunyavskiĭ, Eugene Plotkin, Aner Shalev

Journal:

Journal of Algebra

Year:

2006

Language:

english

File:

PDF, 130 KB

english, 2006

3

Rationality Problem for Generic Tori in Simple Groups

Anne Cortella, Boris Kunyavskiĭ

Journal:

Journal of Algebra

Year:

2000

Language:

english

File:

PDF, 178 KB

english, 2000

4

Formulas for the Unramified Brauer Group of a Principal Homogeneous Space of a Linear Algebraic Group

Mikhail Borovoi, Boris Kunyavskiĭ

Journal:

Journal of Algebra

Year:

2000

Language:

english

File:

PDF, 148 KB

english, 2000

5

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

Gordeev, Nikolai, Kunyavskiĭ, Boris, Plotkin, Eugene

Journal:

Journal of Algebra

Year:

2017

Language:

english

File:

PDF, 453 KB

english, 2017

6

The Bogomolov multiplier of rigid finite groups

Kang, Ming-chang, Kunyavskiĭ, Boris

Journal:

Archiv der Mathematik

Year:

2014

Language:

english

File:

PDF, 214 KB

english, 2014

7

Equations in simple Lie algebras

Tatiana Bandman, Nikolai Gordeev, Boris Kunyavskiĭ, Eugene Plotkin

Journal:

Journal of Algebra

Year:

2012

Language:

english

File:

PDF, 227 KB

english, 2012

8

Bicyclic Algebras of Prime Exponent over Function Fields

Boris È. Kunyavskiĭ, Louis H. Rowen, Sergey V. Tikhonov and Vyacheslav I. Yanchevskiĭ

Journal:

Transactions of the American Mathematical Society

Year:

2006

Language:

english

File:

PDF, 2.61 MB

english, 2006

9

Identities for finite solvable groups and equations in finite simple groups

Bandman, Tatiana, Greuel, Gert-Martin, Grunewald, Fritz, Kunyavskii, Boris, Pfister, Gerhard, Plotkin, Eugene

Journal:

Compositio Mathematica

Year:

2006

Language:

english

File:

PDF, 471 KB

english, 2006

10

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

Nikolai Gordeev, Fritz Grunewald, Boris Kunyavskiĭ, Eugene Plotkin

Journal:

Journal of Algebra

Year:

2010

Language:

english

File:

PDF, 274 KB

english, 2010

11

Arithmetical birational invariants of linear algebraic groups over two-dimensional geometric fields

Mikhail Borovoi, Boris Kunyavskiı̆, Philippe Gille

Journal:

Journal of Algebra

Year:

2004

Language:

english

File:

PDF, 498 KB

english, 2004

12

Criteria for equidistribution of solutions of word equations on

Bandman, Tatiana, Kunyavskiĭ, Boris

Journal:

Journal of Algebra

Year:

2013

Language:

english

File:

PDF, 304 KB

english, 2013

13

Local–global invariants of finite and infinite groups: Around Burnside from another side

Kunyavskiĭ, Boris

Journal:

Expositiones Mathematicae

Year:

2013

Language:

english

File:

PDF, 249 KB

english, 2013

14

Geometry and arithmetic of verbal dynamical systems on simple groups

Bandman, Tatiana, Grunewald, Fritz, Kunyavskii, Boris, Jones, Nathan

Journal:

Groups Geometry and Dynamics

Year:

2010

Language:

english

File:

PDF, 434 KB

english, 2010

15

CHARACTERIZATION OF SOLVABLE GROUPS AND SOLVABLE RADICAL

GRUNEWALD, FRITZ, KUNYAVSKII, BORIS, PLOTKIN, EUGENE

Journal:

International Journal of Algebra and Computation

Year:

2013

Language:

english

File:

PDF, 570 KB

english, 2013

16

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

Nikolai Gordeev, Fritz Grunewald, Boris Kunyavskiĭ, Eugene Plotkin

Journal:

Comptes Rendus Mathematique

Year:

2009

File:

PDF, 135 KB

2009

17

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

Nikolai Gordeev, Fritz Grunewald, Boris Kunyavskii, Eugene Plotkin

Journal:

Journal of Pure and Applied Algebra

Year:

2009

Language:

english

File:

PDF, 563 KB

english, 2009

18

Division Algebras That Ramify Only on a Plane Quartic Curve

Boris È. Kunyavskiĭ, Louis H. Rowen, Sergey V. Tikhonov and Vyacheslav I. Yanchevskiĭ

Journal:

Proceedings of the American Mathematical Society

Year:

2006

Language:

english

File:

PDF, 287 KB

english, 2006

19

Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics

Bandman, Tatiana, Garion, Shelly, Kunyavskiĭ, Boris

Journal:

Central European Journal of Mathematics

Year:

2014

Language:

english

File:

PDF, 1.37 MB

english, 2014

20

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

Tatiana Bandman, Mikhail Borovoi, Fritz Grunewald, Boris Kunyavskii, Eugene Plotkin

Journal:

manuscripta mathematica

Year:

2006

Language:

english

File:

PDF, 181 KB

english, 2006

21

Réduction des groupes algébriques commutatifs

KUNYAVSKIĬ, Boris, SANSUC, Jean-Jacques

Journal:

Journal of the Mathematical Society of Japan

Year:

2001

File:

PDF, 827 KB

2001

22

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

Nikolai Gordeev, Fritz Grunewald, Boris Kunyavskiĭ, Eugene Plotkin

Journal:

Comptes Rendus Mathematique

Year:

2006

File:

PDF, 133 KB

2006

23

Deterministic primality tests based on tori and elliptic curves

Alexander Gurevich, Boris Kunyavskiĭ

Journal:

Finite Fields and Their Applications

Year:

2012

Language:

english

File:

PDF, 263 KB

english, 2012

24

10.1090/S0002-9939-05-08106-2

Kunyavskiĭ, Boris È., Rowen, Louis H., Tikhonov, Sergey V., Yanchevskiĭ, Vyacheslav I.

Journal:

Proceedings of the American Mathematical Society

Year:

2006

Language:

english

File:

PDF, 188 KB

english, 2006

25

Two-variable identities for finite solvable groups

Tatiana Bandman, Gert-Martin Greuel, Fritz Grunewald, Boris Kunyavskiı̆, Gerhard Pfister, Eugene Plotkin

Journal:

Comptes Rendus Mathematique

Year:

2003

Language:

french

File:

PDF, 111 KB

french, 2003

26

Groupe de Picard et groupe de Brauer des compactifications lisses d'espaces homogènes

Colliot-Thélène, Jean-Louis, Kunyavskiĭ, Boris È.

Journal:

Journal of Algebraic Geometry

Year:

2006

File:

PDF, 287 KB

2006

27

Is the function field of a reductive Lie algebra purely transcendental over the field of invariants for the adjoint action?

Colliot-Thélène, Jean-Louis, Kunyavskiĭ, Boris, Popov, Vladimir L., Reichstein, Zinovy

Journal:

Compositio Mathematica

Year:

2011

Language:

english

File:

PDF, 1.08 MB

english, 2011

28

Un problème inverse pour la réduction des groupes algébriques commutatifs

Boris Kunyavskii, Jean-Jacques Sansuc

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

1997

Language:

english

File:

PDF, 482 KB

english, 1997

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