\(K(\pi,1)\) and word problems for infinite type Artin-Tits groups, and applications to virtual braid groups.

DOI10.1007/s00209-012-0989-9zbMath1300.20045arXiv1007.1365OpenAlexW1994194609MaRDI QIDQ1925759

Luis Paris, Eddy Godelle

Publication date: 19 December 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.1365

zbMATH Keywords

Coxeter systemssimplicial complexesword problemreflection groupshomotopy typesflag complexesvirtual braid groupsArtin-Tits systems

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Topological methods in group theory (57M07) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Eilenberg-Mac Lane spaces (55P20)

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