On finite ρ-groups with isomorphic maximal subgroups-Reference-Cited by-同舟云学术

On finite ρ-groups with isomorphic maximal subgroups

Published:1990-04 Issue:2 Volume:48 Page:199-213
ISSN:0263-6115
Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
language:en
Short-container-title:J Aust Math Soc A

Author:

Hermann Peter Z.

Abstract

AbstractFinite ρ-groups with all of their maximal subgroups isomorphic are studied by means of the coclass. All such groups of coclass I and 2 are determined, while those of coclass 3 are shown to have order at most ρ13. A general bound for the order is given as a function of ρ and the coclass only.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

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