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SPECIAL MAXIMAL SUBGROUPS OF $p$-GROUPS
Published online by Cambridge University Press: 07 August 2013
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.
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- Research Article
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- Copyright ©2013 Australian Mathematical Publishing Association Inc.
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