Nontrivial pseudocharacters on groups and their applications

DOI10.1134/S1995080218020154zbMath1390.20004OpenAlexW2797120907WikidataQ129970582 ScholiaQ129970582MaRDI QIDQ1646285

D. Z. Kagan

Publication date: 25 June 2018

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080218020154

zbMATH Keywords

locally indicable groupsHNN-extensionsbounded cohomologygroups with one defining relationanomalous productsnon-trivial pseudocharacterwidth of verbal subgroups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Cites Work

• Volume and bounded cohomology
• Bounded cohomology of group constructions
• Quasirepresentations and pseudorepresentations
• Pseudocharacters on free groups and on certain group constructions
• A bound on the cohomologies of Verma modules
• Нетривиальные псевдохарактеры на группах с одним определяющим соотношением и нетривиальным центром
• Nontrivial pseudocharacters on groups with one defining relation and nontrivial centre
• Approximate Diagonals and Cohomology of Certain Annihilator Banach Algebras
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