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 : 81

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.

.....

Download PDF 81 Click here to Subscribe now