Hostname: page-component-76fb5796d-x4r87 Total loading time: 0 Render date: 2024-04-25T16:06:40.859Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)