On the normal complement problem for finite group algebras of Abelian-by-cyclic groups

Allen Herman, Surinder Kaur

Assume $F$ is a finite field of order $p^f$ and $q$ is an odd prime for which $p^f-1=s{q}^m$, where $m\ge 1$ and $(s,q)=1$. In this article, we obtain the order of symmetric and uni…