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ON FINITE p-GROUPS WITH SUBGROUPS OF BREADTH 1
Published online by Cambridge University Press: 12 April 2010
Abstract
We consider finite p-groups G in which every cyclic subgroup has at most p conjugates. We show that the derived subgroup of such a group has order at most p2. Further, if the stronger condition holds that all subgroups have at most p conjugates then the central factor group has order p4 at most.
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- Research Article
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- Copyright © Australian Mathematical Publishing Association Inc. 2010