The quasi-isometry invariance of commensurizer subgroups.

DOI10.4171/GGD/181zbMath1293.20042arXiv1002.1265MaRDI QIDQ1943734

Diane M. Vavrichek

Publication date: 20 March 2013

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

Full work available at URL: https://arxiv.org/abs/1002.1265

zbMATH Keywords

quasi-isometry invariantsfinitely generated groupsCayley graphsnumbers of endsgroup splittingsfinitely presented groupsgeometric group theoryJSJ decompositionscommensurizers

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Topological methods in group theory (57M07) Quotient spaces, decompositions in general topology (54B15) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (4)

Quasi-isometries between groups with two-ended splittings ⋮ On the coarse-geometric detection of subgroups. ⋮ The geometry of groups containing almost normal subgroups ⋮ Quasi-isometry classification of right-angled Artin groups that split over cyclic subgroups

Cites Work

• Cut points and canonical splittings of hyperbolic groups
• JSJ-splittings for finitely presented groups over slender groups
• The algebraic torus theorem
• Splittings of finitely generated groups over two-ended subgroups
• Groups of cohomological dimension one

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