A Wilson group of non-uniformly exponential growth.

DOI10.1016/S1631-073X(03)00131-6zbMath1050.20018arXivmath/0210471MaRDI QIDQ1408185

Laurent Bartholdi

Publication date: 15 September 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0210471

zbMATH Keywords

growth ratesfinitely generated groupsCayley graphsgroups of intermediate growthnon-uniformly exponential growth

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05)

Related Items (24)

Relating exponential growth in a manifold and its fundamental group ⋮ Exponential growth rates of free and amalgamated products. ⋮ Amenability and non-uniform growth of some directed automorphism groups of a rooted tree ⋮ Numerical upper bounds on growth of automaton groups ⋮ On amenability of groups generated by homogeneous automorphisms and their cracks ⋮ Lower bound on growth of non-elementary subgroups in relatively hyperbolic groups ⋮ Finite generation of iterated wreath products. ⋮ On amenability of automata groups. ⋮ On the automaton complexity of wreath powers of non-Abelian finite simple groups. ⋮ The rank and generating set for inverse limits of wreath products of Abelian groups. ⋮ The smallest Mealy automaton generating an indicable regular branch group ⋮ Hierarchically hyperbolic groups and uniform exponential growth ⋮ Unnamed Item ⋮ A finitely generated just-infinite profinite branch group which is not positively finitely generated. ⋮ On some universal construction of minimal topological generating sets for inverse limits of iterated wreath products of non-abelian finite simple groups ⋮ On growth of generalized Grigorchuk's overgroups ⋮ Branch rings, thinned rings, tree enveloping rings. ⋮ The Automaton Realization of Iterated Wreath Products of Cyclic Groups ⋮ The characterization by automata of certain profinite groups. ⋮ Representation zeta functions of wreath products with finite groups. ⋮ An automata group of intermediate growth and exponential activity ⋮ Ordering the space of finitely generated groups ⋮ A group of non-uniform exponential growth locally isomorphic to $IMG(z^2+i)$ ⋮ Book Review: How groups grow

Cites Work

• Unnamed Item
• Some questions of Edjvet and Pride about infinite groups
• On uniform exponential growth for linear groups.
• Uniform growth in groups of exponential growth
• The entropy of solvable groups

This page was built for publication: A Wilson group of non-uniformly exponential growth.