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arXiv · 1804.07698

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

Sandeep Singh·Hemant Kalra·Rohit Garg
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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.

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Sandeep Singh, Hemant Kalra, Rohit Garg. 2024-02-29. On the non-inner automorphism conjecture of finite $p$-groups. https://arxiv.org/abs/1804.07698

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