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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Automorphism groups of abelian $p$-groups
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by Jutta Hausen PDF
Proc. Amer. Math. Soc. 48 (1975), 67-72 Request permission

Abstract:

Let $\Gamma$ be the automorphism group of a nonelementary reduced abelian $p$-group, $p \geq 5$. It is shown that every noncentral normal subgroup of $\Gamma$ contains a noncentral elementary abelian normal $p$-subgroup of $\Gamma$ of rank at least 2.
References
Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 48 (1975), 67-72
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0360870-8
  • MathSciNet review: 0360870