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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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The automorphism group of a finite metacyclic $p$-group


Author: Richard M. Davitt
Journal: Proc. Amer. Math. Soc. 25 (1970), 876-879
MSC: Primary 20.22
DOI: https://doi.org/10.1090/S0002-9939-1970-0285594-2
MathSciNet review: 0285594
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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper it is shown that if $G$ is a finite non-Abelian metacyclic $p$-group, $p \ne 2$, then the order of $G$ divides the order of the automorphism group of $G$.


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Keywords: Finite <IMG WIDTH="16" HEIGHT="37" ALIGN="MIDDLE" BORDER="0" SRC="images/img3.gif" ALT="$p$">-groups, regular, metacyclic, automorphism group
Article copyright: © Copyright 1970 American Mathematical Society