Type:
Finite p-groups of class 3 have noninner automorphisms of order p
Journal: Beitrage zur Algebra und Geometrie (01384821)Year: March 2013Volume: 54Issue: Pages: 363 - 381
DOI:10.1007/s13366-012-0090-xLanguage: English
Abstract
Let p be a prime. We prove that a finite p-group of class 3 has a noninner automorphism of order p. A result counting derivations from an abelian p-group to an elementary abelian one is of independent interest. © 2012 The Managing Editors.
Author Keywords
Finite p-groupsNon-inner automorphismsAutomorphisms of p-groupsNilpotent groups of class 2Noninner automorphisms