AbstractHere we consider algebraic varieties which are closures of products of conjugacy classes in algebraic groups. Estimates for the dimension of such varieties are obtained. Moreover, these estimates are used in some questions of the Invariant Theory. Also, the structure of the monoid generated by the semisimple conjugacy classes in SLn(K) is described
Problem). Let c1,..., cm be conjugacy classes in a given group. Does the unity of the group belong t...
This paper is devoted to the study of the bideterministic concatenation product, a variant of the c...
Click on the link to view the abstract.Keywords: Conjugacy class, simple groupsQuaestiones Mathemati...
AbstractThis is the continuation of part I. Here we consider the connection between products of conj...
AbstractWe prove the Arad–Herzog conjecture for various families of finite simple groups — if A and ...
Abstract. Levi-properties were first introduced by L. C. Kappe and are modeled after groups investig...
AbstractIn this paper we verify a prediction of the Langlands-Lusztig program in the special case of...
AbstractIn this paper we verify a prediction of the Langlands-Lusztig program in the special case of...
The Frobenius endomorphism of an abelian variety over a finite field [special characters omitted] of...
We summarize several results about non-simplicity, solvability and normal structure of finite grou...
In the group of polynomial automorphisms of the plane, the conjugacy class of an element is closed i...
Conjugacy classes of outer automorphisms of order 3 of simple algebraic groups of classical type D4 ...
Let G be a simple algebraic group of adjoint type over an algebraically closed field k of bad charac...
An attempt was made to make this a self-contained reading. The first three chapters are intended to ...
We show that the sheets for a connected reductive algebraic group $G$ over an algebraically closed ...
Problem). Let c1,..., cm be conjugacy classes in a given group. Does the unity of the group belong t...
This paper is devoted to the study of the bideterministic concatenation product, a variant of the c...
Click on the link to view the abstract.Keywords: Conjugacy class, simple groupsQuaestiones Mathemati...
AbstractThis is the continuation of part I. Here we consider the connection between products of conj...
AbstractWe prove the Arad–Herzog conjecture for various families of finite simple groups — if A and ...
Abstract. Levi-properties were first introduced by L. C. Kappe and are modeled after groups investig...
AbstractIn this paper we verify a prediction of the Langlands-Lusztig program in the special case of...
AbstractIn this paper we verify a prediction of the Langlands-Lusztig program in the special case of...
The Frobenius endomorphism of an abelian variety over a finite field [special characters omitted] of...
We summarize several results about non-simplicity, solvability and normal structure of finite grou...
In the group of polynomial automorphisms of the plane, the conjugacy class of an element is closed i...
Conjugacy classes of outer automorphisms of order 3 of simple algebraic groups of classical type D4 ...
Let G be a simple algebraic group of adjoint type over an algebraically closed field k of bad charac...
An attempt was made to make this a self-contained reading. The first three chapters are intended to ...
We show that the sheets for a connected reductive algebraic group $G$ over an algebraically closed ...
Problem). Let c1,..., cm be conjugacy classes in a given group. Does the unity of the group belong t...
This paper is devoted to the study of the bideterministic concatenation product, a variant of the c...
Click on the link to view the abstract.Keywords: Conjugacy class, simple groupsQuaestiones Mathemati...