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A NOTE ON AUTOMORPHISMS OF FINITE p-GROUPS
Published online by Cambridge University Press: 30 March 2012
Abstract
Let p be an odd prime and let G be a finite p-group such that xZ(G)⊆xG, for all x∈G∖Z(G), where xG denotes the conjugacy class of x in G. Then G has a noninner automorphism of order p leaving the Frattini subgroup Φ(G) elementwise fixed.
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- Copyright © Australian Mathematical Publishing Association Inc. 2012
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