A note on non-inner automorphisms in finite normally constrained $p$-groups

Norberto Gavioli; Leire Legarreta; Marco Ruscitti

2019/94/1-2 (11) — DOI: 10.5486/PMD.2019.8298 — pp. 187-195

A note on non-inner automorphisms in finite normally constrained $p$-groups

Authors: Norberto Gavioli, Leire Legarreta and Marco Ruscitti

Abstract:

In this paper, we claim the existence of at least one non-inner automorphism of order $p$ in finite normally constrained $p$-groups when $p$ is an odd prime.

Keywords: finite $p$-groups, non-inner automorphisms, derivation, normally constrained $p$-groups, thin $p$-groups

Mathematics Subject Classification: 20D15, 20D45