Factoring Elementary p-Groups
Author: Feit S.W.
Source: Journal of Algebra, Volume 206, Number 1, August 1998 , pp. 170-182(13)
Publisher: Academic Press
Let p be an odd prime and let G be an elementary p-group. In other words let G be a direct product of groups of order p. Further let B, A1, ,An be subsets of G such that |B| = p2, |A1| = = |An| = p, and each of A1, ,An differs from a subgroup of order p of G in at most one element. If the product BA1An is direct and is equal to G, then at least one of the factors B, A1, ,An must be periodic. A subset of G is periodic if it is a direct product of a subset and a proper subgroup of G. Copyright 1998 Academic Press.
Document Type: Research article
Publication date: 1998-08-01