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

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Finite P-groups of Class 2 Have Noninner Automorphisms of Order P

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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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2007

ISSN: 0021-8693

DOI: 10.1016/j.jalgebra.2006.08.036