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Open Access Research Article

On the unit group of the semisimple group algebra KqGL(2, ℤ5) 

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pp. 121–134Vol. 27Issue 1February 2024DOI: 10.47974/JIM-1733XML
Received:
05 Apr 2023
Published Online:
27 Feb 2024
Article type:
Research Article
Language:
EN
Article no.:
JIM-1733
Pages:
121–134

Abstract

In this article, we determine the unit group of the semisimple group algebra KqGL(2, ℤ5) of general linear group of 2 × 2 invertible matrices over the finite field ℤ5. Here Kq represents a finite field of order q = pk, where p is a prime and k is a positive integer. 

Keywords

Subject Classifications

(2010) Primary: 16U60Secondary: 20C05

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