Units of $p$-power order in principal $p$-blocks of $p$-constrained groups

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/120067Let $G$ be a finite group having a normal $p$-subgroup $N$ that contains its centralizer $\text{C}_{G}(N)$, and let $R$ be a $p$-adic ring. It is shown that any finite $p$-group of units of augmentation one in $RG$ which normalizes $N$ is conjugate to a subgroup of $G$ by a unit of $RG$, and if it centralizes $N$ it is even contained in $N$.12 pagesRepresentation TheoryRings and Algebras20C05, 16U60 (Primary)Units of $p$-power order in principal $p$-blocks of $p$-constrained groupstext