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

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.