Solution of the width problem in amalgamated products of groups.

DOI10.1007/s10958-010-9886-0zbMath1288.20031OpenAlexW2048643311MaRDI QIDQ2451479

Irina Vasil'evna Dobrynina

Publication date: 3 June 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-010-9886-0

zbMATH Keywords

amalgamated productsverbal subgroupswidths of subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Quasivarieties and varieties of groups (20E10)

Cites Work

• Bounded cohomology of group constructions
• A problem of expressibility in some amalgamated products of groups
• On the width in free products with amalgamation
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