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Proceedings of the American Mathematical Society

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

 

 

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
MathSciNet review: 0285594
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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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DOI: http://dx.doi.org/10.1090/S0002-9939-1970-0285594-2
Keywords: Finite $ p$-groups, regular, metacyclic, automorphism group
Article copyright: © Copyright 1970 American Mathematical Society