On the non-inner automorphism conjecture of finite $p$-groups
Group Theory
2024-03-01 v2
Abstract
A long-standing conjecture asserts that every finite non-abelian -group has a non-inner automorphism of order . In this paper, we settle the conjecture for a finite -group () of nilpotency class with certain conditions.
Cite
@article{arxiv.1804.07698,
title = {On the non-inner automorphism conjecture of finite $p$-groups},
author = {Sandeep Singh and Hemant Kalra and Rohit Garg},
journal= {arXiv preprint arXiv:1804.07698},
year = {2024}
}