On algorithmic problems in generalized tree structures of Coxeter groups

DOI10.22405/2226-8383-2018-19-2-477-490zbMath1434.20023OpenAlexW4253828419MaRDI QIDQ5109667

Irina Vasil'evna Dobrynina

Publication date: 13 May 2020

Published in: Chebyshevskii sbornik (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/cheb667

zbMATH Keywords

diagramCoxeter groupalgorithmic problemstree product of groups

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items

On problem of generalized conjugation of words in a generalized tree structures of Coxeter groups

Cites Work

• Artin groups and infinite Coxeter groups
• Discrete groups generated by reflections
• Coxeter groups, 2-completion, perimeter reduction and subgroup separability.
• A solution of the power conjugacy problem for words in the Coxeter groups of extra large type
• ON SOME ALGORITHMIC PROPERTIES OF HYPERBOLIC GROUPS
• A solution of the generalised conjugacy problem for words in the Coxeter groups of large type
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