The rank gradient and the lamplighter group.

DOI10.2140/involve.2011.4.297zbMath1248.20029OpenAlexW2083162989MaRDI QIDQ444566

Derek J. Allums, Rostislav I. Grigorchuk

Publication date: 15 August 2012

Published in: Involve (Search for Journal in Brave)

Full work available at URL: http://msp.berkeley.edu/involve/2011/4-3/p08.xhtml

zbMATH Keywords

subgroups of finite indexlamplighter groupdecay of rank gradientsdescending chains of subgroupsfinitely generated residually finite amenable groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Other classes of groups defined by subgroup chains (20F22) Extensions, wreath products, and other compositions of groups (20E22) Asymptotic properties of groups (20F69) Residual properties and generalizations; residually finite groups (20E26) Limits, profinite groups (20E18)

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