Let Sn be the symmetric group and An be the alternating group on n symbols. In this article, we have proved that if F is a finite field of characteristic p > n, then there does not exist a normal complement of Sn (n is ...

In this paper, we study the normal complement problem on semisimple group algebras and modular group algebras FG over a field F of positive characteristic. We provide an infinite class of abelian groups G and Galois ...