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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title = "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 E/S \{all equal to\} G is finite. For a prime p, Ŝ = S/S′ Sp may be regarded as an FpG-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.",

keywords = "Free groups, Free products, Modules, Relation modules, p-groups",

author = "Mohammad Yamin and Sharma, \{Poonam Kumar\}",

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AU - Yamin, Mohammad

AU - Sharma, Poonam Kumar

PY - 2014

Y1 - 2014

N2 - 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′ Sp may be regarded as an FpG-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.

AB - 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′ Sp may be regarded as an FpG-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.

KW - Free groups

KW - Free products

KW - Modules

KW - Relation modules

KW - p-groups

UR - https://www.scopus.com/pages/publications/84905672186

U2 - 10.4134/BKMS.2014.51.4.1205

DO - 10.4134/BKMS.2014.51.4.1205

M3 - Article

SN - 1015-8634

VL - 51

SP - 1205

EP - 1210

JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

IS - 4

ER -

Relative relation modules of finite elementary abelian p-groups

Abstract

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