The existence of non-inner automorphisms of order p in finite thin p-groups

TL;DR

This paper investigates whether finite thin p-groups always have at least one non-inner automorphism of order p, contributing to the understanding of automorphism structures in these groups.

Contribution

It establishes the existence of non-inner automorphisms of order p in finite thin p-groups for any prime p, a new result in group theory.

Findings

Non-inner automorphisms of order p exist in finite thin p-groups for all primes p.

The study advances understanding of automorphism groups in finite p-groups.

Provides a foundation for further research on automorphism structures in specialized p-groups.

Abstract

In this paper we study the existence of at least one non-inner automorphism of order p of a finite thin p-group, for any prime p.