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386732

Units in finite dihedral and quaternion group algebras

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Last updated: 31 Dec 2024

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Abstract

Let FqG be the group algebra of a finite group G over Fq ¼ GFðqÞ. Using the Wedderburn
decomposition of F2kD2n=JðF2kD2nÞ, we establish the structure of the unit group of F2kG when G is
either D4n, the dihedral group of order 4n or Q4n, the generalized quaternion group of order 4n; n
odd.

DOI

10.1016/j.joems.2014.08.001

Keywords

Group algebra, Unit group, Wedderburn decomposition, Jacobson radical

Authors

First Name

Neha

Last Name

Makhijani

MiddleName

-

Affiliation

Department of Mathematics, Indian Institute of Technology Delhi, New Delhi, India

Email

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City

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Orcid

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First Name

R.

Last Name

Sharma

MiddleName

K.

Affiliation

Department of Mathematics, Indian Institute of Technology Delhi, New Delhi, India

Email

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City

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Orcid

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First Name

J.

Last Name

Srivastava

MiddleName

B.

Affiliation

Department of Mathematics, Indian Institute of Technology Delhi, New Delhi, India

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City

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Orcid

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Volume

24

Article Issue

1

Related Issue

51061

Issue Date

2016-03-01

Receive Date

2024-10-17

Publish Date

2016-03-01

Page Start

5

Page End

7

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 24_Issue 1_Pages 5-7.pdf

PDF . 383.0kB

Link

https://joems.journals.ekb.eg/article_386732.html

Detail API

https://joems.journals.ekb.eg/service?article_code=386732

Order

386,732

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

MainTitle

Units in finite dihedral and quaternion group algebras

Details

Type

Article

Created At

21 Dec 2024