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Maps related to Grigorchuk's group

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
0195-6698
Jones, G.A.
fdb7f584-21c5-4fe4-9e57-b58c78ebe3f5
Jones, G.A.
fdb7f584-21c5-4fe4-9e57-b58c78ebe3f5

Jones, G.A. (2010) Maps related to Grigorchuk's group European Journal of Combinatorics (doi:10.1016/j.ejc.2009.03.025).

Record type: Article

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

Identifiers

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: 18 Jul 2017 12:42

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