ON GROWTH OF GRIGORCHUK GROUPS

DOI10.1142/S0218196701000450zbMath1024.20031OpenAlexW2113950048MaRDI QIDQ4786268

Igor Pak, Roman Muchnik

Publication date: 15 December 2002

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196701000450

zbMATH Keywords

Grigorchuk groupsgroups of intermediate growth

Mathematics Subject Classification ID

Combinatorics on words (68R15) Generators, relations, and presentations of groups (20F05) Groups acting on trees (20E08)

Related Items

Unnamed Item ⋮ Numerical upper bounds on growth of automaton groups ⋮ Groups of oscillating intermediate growth. ⋮ Growth behaviors in the range \(e^{r^\alpha}\). ⋮ Groups of given intermediate word growth. ⋮ On growth of generalized Grigorchuk's overgroups ⋮ Critical constants for recurrence of random walks on \(G\)-spaces. ⋮ An automata group of intermediate growth and exponential activity ⋮ Growth of periodic Grigorchuk groups ⋮ Ramification structures for quotients of the Grigorchuk groups

Cites Work

• A system of defining relations for a Grigorchuk group
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• On problems related to growth, entropy, and spectrum in group theory
• DEGREES OF GROWTH OF FINITELY GENERATED GROUPS, AND THE THEORY OF INVARIANT MEANS
• ON THE GROWTH DEGREES OF $ p$-GROUPS AND TORSION-FREE GROUPS
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