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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

On the automorphism group of a finite $ p$-group with the central quotient metacyclic


Authors: Richard M. Davitt and Albert D. Otto
Journal: Proc. Amer. Math. Soc. 30 (1971), 467-472
MSC: Primary 20.40
MathSciNet review: 0281797
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Abstract: In this paper it is shown that if G is a finite p-group $ (p > 2)$ such that the central quotient group of G is metacyclic and nontrivial, then the order of G divides the order of the automorphism group of G.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1971-0281797-2
PII: S 0002-9939(1971)0281797-2
Keywords: Finite p-groups, regular, metacyclic, automorphism group
Article copyright: © Copyright 1971 American Mathematical Society