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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: szegedy@renyi.hu
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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

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Footnotes

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