On the non-inner automorphism conjecture of finite p-groups

2018/04/20 by Sandeep Singh, Singh, Sandeep, Hemant Kalra +2
Mathematics · Computer Science · #Finite Group Theory Research #Coding theory and cryptography

paper · pdf · doi:10.48550/arxiv.1804.07698

Abstract

A long-standing conjecture asserts that every finite non-abelian p-group has a non-inner automorphism of order p. In this paper, we settle the conjecture for a finite p-group (p >2) of nilpotency class n with certain conditions.

Related

• A survey on the Non-inner Automorphism Conjecture
• Some automorphism groups of finite p-groups
• Non-inner automorphisms of order p in finite p-groups of coclass 4 and coclass 5
• On the conjecture of non-inner automorphisms of finite p-groups
• On the conjecture of non-inner automorphisms of finite p-groups with a non-trivial abelian direct factor