Commensurated subgroups in finitely generated branch groups

DOI10.1515/JGTH-2016-0033zbMath1368.20022arXiv1602.00213OpenAlexW2964141891MaRDI QIDQ516380

Phillip R. Wesolek

Publication date: 14 March 2017

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.00213

zbMATH Keywords

commensurability classescommensurated subgroupsfinitely generated branch groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) General structure theorems for groups (20E34) Generators, relations, and presentations of groups (20F05) Chains and lattices of subgroups, subnormal subgroups (20E15) Groups acting on trees (20E08)

Related Items (6)

LOCALLY NORMAL SUBGROUPS OF TOTALLY DISCONNECTED GROUPS. PART II: COMPACTLY GENERATED SIMPLE GROUPS ⋮ Non-discrete simple locally compact groups ⋮ Commensurated subgroups and micro-supported actions (with an appendix by Dominik Francoeur) ⋮ Commensurated subgroups in tree almost automorphism groups ⋮ The essentially chief series of a compactly generated locally compact group ⋮ On the residual and profinite closures of commensurated subgroups

Cites Work

• Commensurated subgroups of arithmetic groups, totally disconnected groups and adelic rigidity
• Homomorphisms into totally disconnected, locally compact groups with dense image
• Sofic profile and computability of Cremona groups
• Decomposing locally compact groups into simple pieces
• Dense normal subgroups and chief factors in locally compact groups
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