Finite p-groups of class 2 have noninner automorphisms of order p

2006/08/23 by Abdollahi, A.
#20D45 #20E36 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.math/0608581

Abstract

We prove that for any prime number p, every finite non-abelian p-group G of class 2 has a noninner automorphism of order p leaving either the Frattini subgroup Φ(G) or Ω₁(Z(G)) elementwise fixed.

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