THE STRUCTURE OF THE UNIT GROUP OF A GROUP ALGEBRA OF A GROUP OF ORDER 37
Print ISSN: 0972-7752 | Online ISSN: 2582-0850 |
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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