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Unit groups of finite group algebras of Abelian groups of order 17 to 20

Authors :
Yunpeng Bai
Yuanlin Li
Jiangtao Peng
Source :
AIMS Mathematics, Vol 6, Iss 7, Pp 7305-7317 (2021)
Publication Year :
2021
Publisher :
AIMS Press, 2021.

Abstract

Let $ F $ be a finite field of characteristic $ p $ having $ q = p^n $ elements and $ G $ be an abelian group. In this paper, we determine the structure of the group of units of the group algebra $ FG $, where $ G $ is an abelian group of order $ 17\leq |G|\leq 20 $.

Details

Language :
English
ISSN :
24736988
Volume :
6
Issue :
7
Database :
Directory of Open Access Journals
Journal :
AIMS Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.8bb7ce95fdec4af19e48873f766025c5
Document Type :
article
Full Text :
https://doi.org/10.3934/math.2021428?viewType=HTML