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 n...
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| Format: | Article |
| Language: | English |
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2010.
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| Online Access: | Get fulltext |
| LEADER | 00717 am a22001213u 4500 | ||
|---|---|---|---|
| 001 | 156473 | ||
| 042 | |a dc | ||
| 100 | 1 | 0 | |a Jones, G.A. |e author |
| 245 | 0 | 0 | |a Maps related to Grigorchuk's group |
| 260 | |c 2010. | ||
| 856 | |z Get fulltext |u https://eprints.soton.ac.uk/156473/1/GrigProofs.pdf | ||
| 520 | |a 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 | ||
| 655 | 7 | |a Article | |