Unit Groups of Group Algebras of Abelian Groups of order 32

Abstract

Let $F$ be a finite field of characteristic $p>0$ with $q=p^n$ elements. In this paper, a complete characterization of the unit groups $U(FG)$ of group algebras $FG$ for the abelian groups of order $32$, over finite field of characteristic $p>0$ has been obtained.

13 pages