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A NOTE ON AUTOMORPHISMS OF FINITE p-GROUPS

Published online by Cambridge University Press:  30 March 2012

S. MOHSEN GHORAISHI*
Affiliation:
Department of Mathematics, University of Isfahan, Isfahan 81746-73441, Iran (email: m.ghoraishi@sci.ui.ac.ir)
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Abstract

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Let p be an odd prime and let G be a finite p-group such that xZ(G)⊆xG, for all xGZ(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.

MSC classification

Type
Research Article
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2012

References

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