Finite p-groups with the least number of outer p-automorphisms

Abstract

In this paper we study finite p-groups G for which the p-part of |Aut(G): Inn(G)| has the least possible value p. We characterize the groups in some special cases, including p-groups of nilpotency class 2, of maximal class, of order at most p5, with cyclic Frattini subgroup and p-groups G in which |G: Z(G)|≤ p4. © 2017 World Scientific Publishing Company.