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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