Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-09T14:00:59.339Z Has data issue: false hasContentIssue false

ON GROWTH OF GROUPS WITH FEW RELATORS

Published online by Cambridge University Press:  23 December 2003

JOHN S. WILSON
Affiliation:
Mathematical Institute, 24–29 St Giles', Oxford OX1 3LB [email protected]
Get access

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

Type
Papers
Copyright
© The London Mathematical Society 2004

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.)