On Cayley graphs of virtually free groups
On Cayley graphs of virtually free groups
In 1985, Dunwoody showed that finitely presentable groups are accessible. Dunwoody's result was used to show that context-free groups, groups quasi-isometric to trees or finitely presentable groups of asymptotic dimension 1 are virtually free. Using another theorem of Dunwoody of 1979, we study when a group is virtually free in terms of its Cayley graph and we obtain new proofs of the mentioned results and other previously depending on them
1-27
Antolin, Yago
2ff7c13c-8a0d-4a50-9de5-63a750896e4c
Antolin, Yago
2ff7c13c-8a0d-4a50-9de5-63a750896e4c
Antolin, Yago
(2009)
On Cayley graphs of virtually free groups.
Pre-print, (arXiv:0911.2177), .
Abstract
In 1985, Dunwoody showed that finitely presentable groups are accessible. Dunwoody's result was used to show that context-free groups, groups quasi-isometric to trees or finitely presentable groups of asymptotic dimension 1 are virtually free. Using another theorem of Dunwoody of 1979, we study when a group is virtually free in terms of its Cayley graph and we obtain new proofs of the mentioned results and other previously depending on them
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e-pub ahead of print date: 11 November 2009
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Pure Mathematics
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Local EPrints ID: 202227
URI: http://eprints.soton.ac.uk/id/eprint/202227
PURE UUID: 969f0a8e-05d4-4d1b-a27d-cea54e268759
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Date deposited: 04 Nov 2011 11:46
Last modified: 10 Dec 2021 19:49
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Author:
Yago Antolin
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