Abstract
Let G be a finite non-abelian p-group and let \(W(G)/Z(G)=\Omega _1(Z_2(G)/Z(G))\). A longstanding conjecture asserts that G admits a non-inner automorphism of order p. We confirm the conjecture in case Z(G) is not cyclic and W(G) is non-abelian.
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Garg, R., Singh, M. Finite p-groups with non-cyclic center have a non-inner automorphism of order p. Arch. Math. 117, 129–132 (2021). https://doi.org/10.1007/s00013-021-01612-1
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DOI: https://doi.org/10.1007/s00013-021-01612-1