Maps related to Grigorchuk's group


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

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Description/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

Item Type: Article
Digital Object Identifier (DOI): doi:10.1016/j.ejc.2009.03.025
ISSNs: 0195-6698 (print)
Subjects: Q Science > QA Mathematics
ePrint ID: 156473
Date :
Date Event
2010Submitted
Date Deposited: 02 Jun 2010 13:28
Last Modified: 18 Apr 2017 04:01
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/156473

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