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Maps related to Grigorchuk's group

By G.A. Jones

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<br/

Topics: QA
OAI identifier: oai:eprints.soton.ac.uk:156473
Provided by: e-Prints Soton
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