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Amenability and growth of one-relator groups

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Publication:1384146
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zbMath0897.20022MaRDI QIDQ1384146

Rostislav I. Grigorchuk, Tullio G. Ceccherini Silberstein

Publication date: 11 August 1998

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)


zbMATH Keywords

growth ratesfinitely generated groupsamenabilityone-relator groupsgroups of exponential growthgroups of uniform exponential growth


Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)


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Stability of group relations under small Hilbert-Schmidt perturbations, \(\mathrm C^*\)-algebras of right LCM one-relator monoids and Artin-Tits monoids of finite type, The growth of free products., A non-residually solvable hyperlinear one-relator group, Branch rings, thinned rings, tree enveloping rings., Sub-dominant Cogrowth Behavior and the Viability of Deciding Amenability Numerically, The girth of groups satisfying Tits alternative., Amenable groups and cellular automata, Simplicial volume of one-relator groups and stable commutator length



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