A class of finite $p$-groups and the normalized unit groups of group algebras

Yulei Wang, Heguo Liu

Let $p$ be a prime and ${\mathbb{F}}_p$ be a finite field of $p$ elements. Let ${\mathbb{F}}_{p}G$ denote the group algebra of the finite $p$-group $G$ over the field ${\mathbb{F}}_p$ and…