THE STRUCTURE OF THE UNIT GROUP OF A GROUP ALGEBRA OF A GROUP OF ORDER 37

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 472

Volume : 18 , Issue : 1
DOI:
Author :
Nikita Srivastava (Department of Mathematics and Scientific Computing, M. M. M. University of Technology, Gorakhpur - 273016, U.P., INDIA)
Harish Chandra (Department of Mathematics and Scientific Computing, M. M. M. University of Technology, Gorakhpur - 273016, U.P., INDIA)
Suchi Bhatt (Department of Mathematics, Institute of Applied Sciences and Humanities, G. L. A. University, Mathura - 281406, U.P., INDIA)

Abstract

Let $FG$ be the group algebra of a group $G$ over a finite field $F$ of characteristic $p>0$ with $q=p^n$ elements. In this paper, a complete characterization of the unit group $U(FC_{37})$ of the group algebra $FC_{37}$ for the group $C_{37}$ of order 37, over a finite field of characteristic $p>0$ has been obtained.

Keywords and Phrases

Group algebras, Unit groups, Jacobson radical.

A.M.S. subject classification

20C05, 16S34, 16U60.

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