On a conjecture in Artin groups

DOI10.1142/S0218196721400105OpenAlexW3173568961WikidataQ113777364 ScholiaQ113777364MaRDI QIDQ4957775

Arye Juhász

Publication date: 9 September 2021

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196721400105

zbMATH Keywords

Artin groupssmall cancellation theoryrelative presentationsvan Kampen diagramsHowie diagrams

Mathematics Subject Classification ID

Geometric group theory (20F65) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (1)

A class of Artin groups in which the \(K( \pi ,1)\) conjecture holds

Cites Work

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• The structure of one-relator relative presentations and their centres
• Aspherical relative presentations
• Equations Over Groups and a Theorem of Higman, Neumann, and Neumann
• The K(π, 1)-Problem for Hyperplane Complements Associated to Infinite Reflection Groups
• Basic Questions on Artin-Tits groups
• Artin groups of infinite type: Trivial centers and acylindrical hyperbolicity

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