Non-inner automorphisms of order p in finite normally constrained p-groups

TL;DR

This paper investigates the existence of non-inner automorphisms of order p in finite normally constrained p-groups, focusing on cases where p is an odd prime, contributing to the understanding of automorphism structures in these groups.

Contribution

It establishes conditions under which such non-inner automorphisms of order p exist in finite normally constrained p-groups for odd primes.

Findings

Existence of non-inner automorphisms of order p proven for certain classes

Conditions identified for automorphism existence in normally constrained p-groups

Advances understanding of automorphism structure in finite p-groups

Abstract

In this paper we study the existence of at least one non-inner automorphism of order p in a finite normally constrained p-group when p is an odd prime.