RELATIVE RELATION MODULES OF FINITE ELEMENTARY ABELIAN p-GROUPS

Title & Authors
RELATIVE RELATION MODULES OF FINITE ELEMENTARY ABELIAN p-GROUPS

Abstract
Let E be a free product of a finite number of cyclic groups, and S a normal subgroup of E such that $\small{E/S{\sim_=}G}$ is finite. For a prime p, $\small{\hat{S}=S/S^{\prime}S^p}$ may be regarded as an $\small{F_pG}$-module via conjugation in E. The aim of this article is to prove that $\small{\hat{S}}$ is decomposable into two indecomposable modules for finite elementary abelian p-groups G.
Keywords
free groups;free products;p-groups;modules;relation modules;
Language
English
Cited by
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