Special maximal subgroups of p-groups

John Cossey

doi:10.1017/S0004972713000658

Special maximal subgroups of p-groups

John Cossey

Research output: Contribution to journal › Article › peer-review

Abstract

In the 2006 edition of the Kourovka Notebook, Berkovich poses the following problem (Problem 16.13): Let p be a prime and P be a finite p-group. Can P have every maximal subgroup special? We show that the structure of such groups is very restricted, but for all primes there are groups of arbitrarily large size with this property.

Original language	English
Pages (from-to)	415-419
Journal	Bulletin of the Australian Mathematical Society
Volume	89
Issue number	3
DOIs	https://doi.org/10.1017/S0004972713000658
Publication status	Published - 2014

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10.1017/S0004972713000658

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Special maximal subgroups of p-groups

Abstract

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