Factoring small 2-groups
Abstract
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 .
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