The pointed $p$-groups on a block algebra

Abstract

A pointed $p$-group is a pointed group $P_{\gamma }$ such that $P$ is a $p$-group. We parameterize the pointed $p$-groups on a group algebra or on a block algebra of a group algebra. The parameterization involves $p$-subgroups and irreducible characters of centralizers of $p$-subgroups.