Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-11-26T23:46:07.493Z Has data issue: false hasContentIssue false
  • English
  • Français

ALMOST ALL FINITELY GENERATED SUBGROUPS OF THE NOTTINGHAM GROUP ARE FREE

Published online by Cambridge University Press:  08 February 2005

BALÁZS SZEGEDY
BALÁZS SZEGEDY
Affiliation:
Alfréd Rényi Institute of Mathematics, 1364 Budapest, P.O. Box 127, Hungary e-mail: [email protected]
Get access

Abstract

It is proved that two random elements of the Nottingham group generate a free group with probability 1. This answers a question of A. Shalev.

Keywords

20E1813F25
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 37 , Issue 1 , January 2005 , pp. 75 - 79
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.)

Footnotes

This research was partially supported by the Hungarian National Research Foundation (OTKA), grant no. T038059, and by Microsoft Research.