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RELATIVE RELATION MODULES OF FINITE ELEMENTARY ABELIAN p-GROUPS

  • Yamin, Mohammad ;
  • Sharma, Poonam Kumar
  • Received : 2013.10.30
  • Published : 2014.07.31

Abstract

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

Keywords

free groups;free products;p-groups;modules;relation modules

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