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Maps related to Grigorchuk's group

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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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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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Submitted date: 2010


Local EPrints ID: 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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