%0 Journal Article
%T Camina $p$-groups that are generalized Frobenius complements
%A I. M. Isaacs
%A Mark L. Lewis
%J Mathematics
%D 2014
%I arXiv
%X Let $P$ be a Camina $p$-group that acts on a group $Q$ in such a way that $C_P (x) \subseteq P'$ for all nonidentity elements $x \in Q$. We show that $P$ must be isomorphic to the quaternion group $Q_8$. If $P$ has class $2$, this is a known result, and this paper corrects a previously published erroneous proof of the general case.
%U http://arxiv.org/abs/1411.3278v1