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On finite ρ-groups with isomorphic maximal subgroups

Part of: Representation theory of groups

Published online by Cambridge University Press:  09 April 2009

Peter Z. Hermann
Peter Z. Hermann
Affiliation:
Department of Algebra and Number Theory, Eötvös Loráand UniversityMúzeum krt. 6-8 H-1088 Budapest, Hungary
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Abstract

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Finite 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.

MSC classification

Secondary: 20D15: Nilpotent groups, $p$-groups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 48 , Issue 2 , April 1990 , pp. 199 - 213
Copyright
Copyright © Australian Mathematical Society 1990

References

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