Scale-invariant groups.

DOI10.4171/GGD/119zbMath1236.20031arXiv0811.0220MaRDI QIDQ646380

Gábor Pete, Volodymyr V. Nekrashevych

Publication date: 17 November 2011

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.0220

zbMATH Keywords

Heisenberg groupsubgroups of finite indexco-Hopfian groupsinjective endomorphismsfinite automataaffine groupsself-similar groupsexpanding mapslamplighter groupsFølner monotilingsnested sequences of subgroupspercolation renormalizationscale-invariant groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Chains and lattices of subgroups, subnormal subgroups (20E15) Hyperbolic groups and nonpositively curved groups (20F67) Groups acting on trees (20E08)

Related Items

On the lattice of subgroups of the lamplighter group, Some topics in the dynamics of group actions on rooted trees., The lamplighter group of rank two generated by a bireversible automaton, Towers of regular self-covers and linear endomorphisms of tori, Structure of normally and finitely non-co-Hopfian groups, Pro-groups and generalizations of a theorem of Bing, Cantor dynamics of renormalizable groups, Gradings on Lie algebras, systolic growth, and cohopfian properties of nilpotent groups, Strongly scale-invariant virtually polycyclic groups

Uses Software

• AutomGrp

Cites Work

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