Let G be a finite abelian group and let G = A_1 · · · A_n be a factorization of G into its subsets A_1 , . . . , A_n. For a given G certain choices of the orders |A_1|, . . . , |A_n| guarantee that one of the factors is periodic. In connection with an open problem we determine such choices of orders of factors intwo special cases. In these cases |G| is either 2^5 or 2^6
summary:It is proved that if a finite abelian group is factored into a direct product of lacunary cy...
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 ...
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 ...
AbstractIt is shown that if in the factorization of a finite cyclic group each factor has either pri...
AbstractRédei′s theorem asserts that if a finite abelian group is a direct product of subsets of pri...
AbstractRédei′s theorem asserts that if a finite abelian group is a direct product of subsets of pri...
summary:It is proved that if a finite abelian group is factored into a direct product of lacunary cy...
AbstractIt is shown that if in the factorization of a finite cyclic group each factor has either pri...
Abstract. We solve some factorisation problems for finite characteristically simple groups, using fa...
Decomposing an abelian group into a direct sum of its subsets leads to results that can be applied t...
AbstractWe solve some factorisation problems for finite characteristically simple groups, using fact...
summary:It is proved that if a finite abelian group is factored into a direct product of lacunary cy...
summary:It is proved that if a finite abelian group is factored into a direct product of lacunary cy...
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 ...
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 ...
AbstractIt is shown that if in the factorization of a finite cyclic group each factor has either pri...
AbstractRédei′s theorem asserts that if a finite abelian group is a direct product of subsets of pri...
AbstractRédei′s theorem asserts that if a finite abelian group is a direct product of subsets of pri...
summary:It is proved that if a finite abelian group is factored into a direct product of lacunary cy...
AbstractIt is shown that if in the factorization of a finite cyclic group each factor has either pri...
Abstract. We solve some factorisation problems for finite characteristically simple groups, using fa...
Decomposing an abelian group into a direct sum of its subsets leads to results that can be applied t...
AbstractWe solve some factorisation problems for finite characteristically simple groups, using fact...
summary:It is proved that if a finite abelian group is factored into a direct product of lacunary cy...
summary:It is proved that if a finite abelian group is factored into a direct product of lacunary cy...
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 ...