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ON GROWTH OF GROUPS WITH FEW RELATORS
Published online by Cambridge University Press: 23 December 2003
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.
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- © The London Mathematical Society 2004
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