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

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Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry Aims and scope Submit manuscript

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.

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Correspondence to Alireza Abdollahi.

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This research was in part supported by a grant from IPM (No. 90050219).

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Abdollahi, A., Ghoraishi, M. & Wilkens, B. Finite p-groups of class 3 have noninner automorphisms of order p . Beitr Algebra Geom 54, 363–381 (2013). https://doi.org/10.1007/s13366-012-0090-x

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  • DOI: https://doi.org/10.1007/s13366-012-0090-x

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