Bounded cohomology of group constructions

DOI10.1007/BF02308687zbMath0873.20039MaRDI QIDQ1358517

Rostislav I. Grigorchuk

Publication date: 14 July 1997

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

group presentationsfree products with amalgamationHNN-extensionsbounded cohomologyverbal subgroupsspace of 2-cocyclesbounded homology

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (9)

Nontrivial pseudocharacters on groups and their applications ⋮ Verbal subgroups of hyperbolic groups have infinite width ⋮ Median quasimorphisms on CAT(0) cube complexes and their cup products ⋮ Pseudocharacters on free groups, invariant with respect to some types of endomorphisms. ⋮ Solution of the width problem in amalgamated products of groups. ⋮ Pseudocharacters on anomalous products of locally indicable groups. ⋮ On the width in free products with amalgamation ⋮ Non-virtually abelian anisotropic linear groups are not boundedly generated ⋮ Нетривиальные псевдохарактеры на группах с одним определяющим соотношением и нетривиальным центром

Cites Work

• Volume and bounded cohomology
• Bounded Cohomology of Certain Groups of Homeomorphisms
• Unimodular Commutators
• Commutators of Certain Finitely Generated Soluble Groups
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