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ON SUBGROUPS OF FINITE INDEX IN POSITIVELY FINITELY GENERATED GROUPS
Published online by Cambridge University Press: 12 December 2005
Abstract
This paper proves that a subgroup of finite index in a positively finitely generated profinite group has maximal subgroup growth at most $n^{\log (n\!)}$. In particular such a subgroup cannot be free, answering a question by L. Pyber.
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- © The London Mathematical Society 2005
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