On the non-inner automorphism conjecture of finite $p$-groups
Sandeep Singh, Hemant Kalra, Rohit Garg

TL;DR
This paper proves that certain finite p-groups of nilpotency class n (p > 2) always have a non-inner automorphism of order p, confirming a long-standing conjecture in specific cases.
Contribution
It settles the non-inner automorphism conjecture for finite p-groups of nilpotency class n under specific conditions, for primes p > 2.
Findings
Confirmed the conjecture for p > 2 under certain conditions
Identified conditions under which non-inner automorphisms of order p exist
Advances understanding of automorphism structure in finite p-groups
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.
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Taxonomy
TopicsFinite Group Theory Research · Coding theory and cryptography
