In this paper we study the structure of a group G = SH factorized by an elementary abelian group S of exponent 2 and a periodic group H without involutions. Our main result is Theorem. Let G = SH be a group factorized by S, a subgroup of exponent 2, and H, a periodic group without elements of even order. If H is hypercentral then G is hyperabelian; moreover, if H is soluble with derived length d, then G has derived length at most 2d
Abstract. We obtain the structure of finite groups of the form G =AB where B is a group isomorphic t...
Abstract. We solve some factorisation problems for finite characteristically simple groups, using fa...
In this note we study finite p-groups G=AB admitting a factorization by an abelian group A and a sub...
In this paper we study the structure of a group G = SH factorized by an elementary abelian group ...
In this paper we study the structure of a group G = SH factorized by an elementary abelian group ...
In this paper we study the structure of a group G = SH factorized by an elementary abelian group ...
In this paper we study the structure of a group G = SH factorized by an elementary abelian group ...
In this paper we study the structure of a group G = SH factorized by an elementary abelian group ...
Let G be a finite abelian group and let G = A_1 · · · A_n be a factorization of G into its subsets ...
summary:It is proved that if a finite abelian group is factored into a direct product of lacunary cy...
Let G be a finite abelian group and let G = A_1 · · · A_n be a factorization of G into its subsets ...
Let G be a finite abelian group and let G = A_1 · · · A_n be a factorization of G into its subsets ...
Let G be a finite abelian group and let G = A_1 · · · A_n be a factorization of G into its subsets ...
Abstract. We obtain the structure of finite groups of the form G =AB where B is a group isomorphic t...
Abstract. We obtain the structure of finite groups of the form G =AB where B is a group isomorphic t...
Abstract. We obtain the structure of finite groups of the form G =AB where B is a group isomorphic t...
Abstract. We solve some factorisation problems for finite characteristically simple groups, using fa...
In this note we study finite p-groups G=AB admitting a factorization by an abelian group A and a sub...
In this paper we study the structure of a group G = SH factorized by an elementary abelian group ...
In this paper we study the structure of a group G = SH factorized by an elementary abelian group ...
In this paper we study the structure of a group G = SH factorized by an elementary abelian group ...
In this paper we study the structure of a group G = SH factorized by an elementary abelian group ...
In this paper we study the structure of a group G = SH factorized by an elementary abelian group ...
Let G be a finite abelian group and let G = A_1 · · · A_n be a factorization of G into its subsets ...
summary:It is proved that if a finite abelian group is factored into a direct product of lacunary cy...
Let G be a finite abelian group and let G = A_1 · · · A_n be a factorization of G into its subsets ...
Let G be a finite abelian group and let G = A_1 · · · A_n be a factorization of G into its subsets ...
Let G be a finite abelian group and let G = A_1 · · · A_n be a factorization of G into its subsets ...
Abstract. We obtain the structure of finite groups of the form G =AB where B is a group isomorphic t...
Abstract. We obtain the structure of finite groups of the form G =AB where B is a group isomorphic t...
Abstract. We obtain the structure of finite groups of the form G =AB where B is a group isomorphic t...
Abstract. We solve some factorisation problems for finite characteristically simple groups, using fa...
In this note we study finite p-groups G=AB admitting a factorization by an abelian group A and a sub...