Maps related to Grigorchuk's group
Maps related to Grigorchuk's group
Grigorchuk's group of intermediate growth can be represented, through its action on the infinite binary rooted tree, as the automorphism group of a regular map G on a non-compact surface. A theory of growth of maps is developed, and it is shown that G has intermediate growth. Some compact and non-compact quotients of G are described, and it is shown how these ideas may be extended to the generalised Grigorchuk groups
Jones, G.A.
fdb7f584-21c5-4fe4-9e57-b58c78ebe3f5
Jones, G.A.
fdb7f584-21c5-4fe4-9e57-b58c78ebe3f5
Abstract
Grigorchuk's group of intermediate growth can be represented, through its action on the infinite binary rooted tree, as the automorphism group of a regular map G on a non-compact surface. A theory of growth of maps is developed, and it is shown that G has intermediate growth. Some compact and non-compact quotients of G are described, and it is shown how these ideas may be extended to the generalised Grigorchuk groups
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Submitted date: 2010
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Local EPrints ID: 156473
URI: http://eprints.soton.ac.uk/id/eprint/156473
ISSN: 0195-6698
PURE UUID: cdba13ce-78bb-456b-b4bf-206cfd5527af
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Date deposited: 02 Jun 2010 13:28
Last modified: 14 Mar 2024 01:43
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G.A. Jones
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