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http://dx.doi.org/10.4134/BKMS.2014.51.4.1205

RELATIVE RELATION MODULES OF FINITE ELEMENTARY ABELIAN p-GROUPS  

Yamin, Mohammad (King Abdulaziz University)
Sharma, Poonam Kumar (D.A.V. College)
Publication Information
Bulletin of the Korean Mathematical Society / v.51, no.4, 2014 , pp. 1205-1210 More about this Journal
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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