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ON GROWTH OF GROUPS WITH FEW RELATORS

Published online by Cambridge University Press:  23 December 2003

JOHN S. WILSON
JOHN S. WILSON
Affiliation:
Mathematical Institute, 24–29 St Giles', Oxford OX1 3LB wilsonjs@maths.ox.ac.uk
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Abstract

Let $G$ be a group that has a presentation with $n$ generators and $m$ relators, where $m\,{<}\,n$, and let $S$ be an arbitrary generating set for $G$. Then some subset of $n-m$ elements of $S$ freely generates a free subgroup of $G$. This leads to the proof of a conjecture of Gromov on growth of groups.

Keywords

20F0520E18
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 36 , Issue 1 , January 2004 , pp. 1 - 2
Copyright
© The London Mathematical Society 2004

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