The commensurability relation for finitely generated groups

DOI10.1515/JGT.2009.022zbMath1217.20020MaRDI QIDQ3401164

Simon Thomas

Publication date: 29 January 2010

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

zbMATH Keywords

finitely generated groupsdescriptive set theoryisomorphism typescommensurable groupsmarked groupsbranch groupsPolish spaces

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Descriptive set theory (03E15) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Cites Work

• On the complexity of the isomorphism relation for finitely generated groups
• Not residually finite groups of intermediate growth, commensurability and non-geometricity.
• The space of finitely generated groups
• The finite images of finitely generated groups
• DEGREES OF GROWTH OF FINITELY GENERATED GROUPS, AND THE THEORY OF INVARIANT MEANS
• A Glimm-Effros Dichotomy for Borel Equivalence Relations
• Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. I
• THE VIRTUAL ISOMORPHISM PROBLEM FOR FINITELY GENERATED GROUPS
• COUNTABLE BOREL EQUIVALENCE RELATIONS
• Cayley graphs of finitely generated groups

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