Relative relation modules of finite elementary abelian p-groups

Mohammad Yamin; Poonam Kumar Sharma

doi:10.4134/BKMS.2014.51.4.1205

Relative relation modules of finite elementary abelian p-groups

Mohammad Yamin, Poonam Kumar Sharma

Research output: Contribution to journal › Article › peer-review

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 {all equal to} G is finite. For a prime p, Ŝ = S/S′ S^p may be regarded as an F_pG-module via conjugation in E. The aim of this article is to prove that Ŝ is decomposable into two indecomposable modules for finite elementary abelian p-groups G.

Original language	English
Pages (from-to)	1205-1210
Number of pages	6
Journal	Bulletin of the Korean Mathematical Society
Volume	51
Issue number	4
DOIs	https://doi.org/10.4134/BKMS.2014.51.4.1205
Publication status	Published - 2014
Externally published	Yes

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10.4134/BKMS.2014.51.4.1205

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AU - Sharma, Poonam Kumar

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KW - Free groups

KW - Free products

KW - Modules

KW - Relation modules

KW - p-groups

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EP - 1210

JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

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Relative relation modules of finite elementary abelian p-groups

Abstract

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