Add to ORKGAbstract. Using elementary methods, a positive answer is given to a question of A. D. Sands concerning factorizations of abelian groups. We then indicate how our approach to Sands's question has its roots in a result on the ergodic theory of innite measure preserving transformations due to Eigen, Hajian and Ito. 1. Sands's Problem and an Elementary Solution In [2], A.D. Sands notes that a positive answer to the following problem would simplify the proofs in [2]. Our Theorem 1.1 which is proved using elementary arguments, provides (as a special case) such a positive answer. Here is Sands's problem: Problem(Sands) Suppose that G = A+B is a factorization of the group G, and that the subset A is nite. Suppose that a subset C of G...
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...
summary:It is proved that if a finite abelian group is factored into a direct product of lacunary cy...
AbstractUsing elementary methods, a positive answer is given to a question of A. D. Sands concerning...
AbstractUsing elementary methods, a positive answer is given to a question of A. D. Sands concerning...
AbstractFactoring a finite abelian group by its subsets is a direct product of these subsets giving ...
. For each finite abelian group we determine the numbers q 1 ; . . . ; q n such that if the group i...
Abstract. Suppose G is an infinite Abelian group that factorizes as the direct sum G = A⊕B: i.e., th...
AbstractHajós theorem asserts that if a finite abelian group is expressed as a direct product of cyc...
Decomposing an abelian group into a direct sum of its subsets leads to results that can be applied t...
summary:It is proved that if a finite abelian group is factored into a direct product of lacunary cy...
AbstractFactoring a finite abelian group by its subsets is a direct product of these subsets giving ...
AbstractSuppose that the finite abelian group G is a direct product of the subsets A1,..., An such t...
AbstractSuppose that the finite abelian group G is a direct product of the subsets A1,..., An such t...
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...
summary:It is proved that if a finite abelian group is factored into a direct product of lacunary cy...
AbstractUsing elementary methods, a positive answer is given to a question of A. D. Sands concerning...
AbstractUsing elementary methods, a positive answer is given to a question of A. D. Sands concerning...
AbstractFactoring a finite abelian group by its subsets is a direct product of these subsets giving ...
. For each finite abelian group we determine the numbers q 1 ; . . . ; q n such that if the group i...
Abstract. Suppose G is an infinite Abelian group that factorizes as the direct sum G = A⊕B: i.e., th...
AbstractHajós theorem asserts that if a finite abelian group is expressed as a direct product of cyc...
Decomposing an abelian group into a direct sum of its subsets leads to results that can be applied t...
summary:It is proved that if a finite abelian group is factored into a direct product of lacunary cy...
AbstractFactoring a finite abelian group by its subsets is a direct product of these subsets giving ...
AbstractSuppose that the finite abelian group G is a direct product of the subsets A1,..., An such t...
AbstractSuppose that the finite abelian group G is a direct product of the subsets A1,..., An such t...
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...
summary:It is proved that if a finite abelian group is factored into a direct product of lacunary cy...