Finite p-groups of class 3 have noninner automorphisms of order p

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.

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Bibliographic Details
Published in:Beiträge zur Algebra und Geometrie 2013-03, Vol.54 (1), p.363-381
Main Authors: Abdollahi, Alireza, Ghoraishi, Mohsen, Wilkens, Bettina
Format: Article
Language:English
Subjects:
Algebra
Algebraic Geometry
Convex and Discrete Geometry
Geometry
Mathematics
Mathematics and Statistics
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Summary: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.
ISSN:0138-4821
2191-0383
DOI:10.1007/s13366-012-0090-x