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Injectivity of the positive monoid for some infinite type Artin groups. (English) Zbl 1079.20500
Cossey, John (ed.) et al., Geometric group theory down under. Proceedings of a special year in geometric group theory, Canberra, Australia, July 14–19, 1996. Berlin: de Gruyter (ISBN 3-11-016366-7/hbk). 103-118 (1999).
Summary: We use CAT(0) geometry to show that for certain classes of infinite type Artin groups \(A\), the associated positive monoid \(A^+\) injects into \(A\).
For the entire collection see [Zbl 0910.00040].

MSC:
20F36 Braid groups; Artin groups
20F55 Reflection and Coxeter groups (group-theoretic aspects)
57M07 Topological methods in group theory
20F05 Generators, relations, and presentations of groups
20F65 Geometric group theory
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