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ON SUBGROUPS OF FINITE INDEX IN POSITIVELY FINITELY GENERATED GROUPS

Published online by Cambridge University Press:  12 December 2005

NIKOLAY NIKOLOV
NIKOLAY NIKOLOV
Affiliation:
New College, Oxford OX1 3BN, United Kingdom, nikolay.nikolov@new.ox.ac.uk
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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.

Keywords

20E2820P05
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 37 , Issue 6 , December 2005 , pp. 873 - 877
Copyright
© The London Mathematical Society 2005

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