On the unit group of a commutative group ring

V. Bovdi; M. Salim

doi:10.14232/actasm-013-510-1

On the unit group of a commutative group ring

V. Bovdi, M. Salim

Department of Mathematical Sciences

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

9 Citations (Scopus)

Abstract

We investigate the group of normalized units of the group algebra ℤ_peG of a finite abelian p-group G over the ring ℤ_pe of residues modulo p^e with e ≥ 1.

Original language	English
Pages (from-to)	433-445
Number of pages	13
Journal	Acta Scientiarum Mathematicarum
Volume	80
Issue number	3-4
DOIs	https://doi.org/10.14232/actasm-013-510-1
Publication status	Published - 2014

Keywords

Group algebra
Symmetric unit
Unitary unit

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.14232/actasm-013-510-1

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title = "On the unit group of a commutative group ring",

abstract = "We investigate the group of normalized units of the group algebra ℤpeG of a finite abelian p-group G over the ring ℤpe of residues modulo pe with e ≥ 1.",

keywords = "Group algebra, Symmetric unit, Unitary unit",

author = "V. Bovdi and M. Salim",

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AU - Bovdi, V.

AU - Salim, M.

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PY - 2014

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N2 - We investigate the group of normalized units of the group algebra ℤpeG of a finite abelian p-group G over the ring ℤpe of residues modulo pe with e ≥ 1.

AB - We investigate the group of normalized units of the group algebra ℤpeG of a finite abelian p-group G over the ring ℤpe of residues modulo pe with e ≥ 1.

KW - Group algebra

KW - Symmetric unit

KW - Unitary unit

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JO - Acta Scientiarum Mathematicarum

JF - Acta Scientiarum Mathematicarum

IS - 3-4

ER -

On the unit group of a commutative group ring

Abstract

Keywords

ASJC Scopus subject areas

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