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386778

Unit group of some finite semisimple group algebras

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Last updated: 31 Dec 2024

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Abstract

We provide the structure of the unit group of F pk Sn , where p > n is a prime and Sn denotes the symmetric group on n letters. We also provide the complete characterization of the unit group of the group algebra F pkA6 for p  7 , where A6 is the alternating group on 6 letters.

DOI

10.1186/s42787-022-00151-0

Keywords

Unit group, Group algebra, Finite field, Wedderburn decomposition Mathematics Subject Classification: Primary 16S34, Secondary 16U60, 20C05ٍ

Volume

30

Article Issue

1

Related Issue

51015

Issue Date

2022-01-01

Receive Date

2024-10-17

Publish Date

2022-01-01

Page Start

1

Page End

9

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 30_Issue 1_Pages 1-9.pdf

PDF . 2.1MB

Link

https://joems.journals.ekb.eg/article_386778.html

Detail API

https://joems.journals.ekb.eg/service?article_code=386778

Order

386,778

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

Unit group of some finite semisimple group algebras

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Article

Created At

21 Dec 2024