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Let $M$ be a surface, let $N$ be a subsurface, and let $n \leq m$ be two positive integers. The inclusion of $N$ in $M$ gives rise to a homomorphism from the braid group $B_{n} N$ with $n$ strings on $N$ to the braid group $B_{m} M$ with $m$ strings on $M$ . We first determine necessary and sufficient conditions that this homomorphism is injective, and we characterize the commensurator, the normalizer and the centralizer of $π_{1} N$ in $π_{1} M$ . Then we calculate the commensurator, the normalizer and the centralizer of $B_{n} N$ in $B_{m} M$ for large surface braid...

Graphes planaires et présentations des groupes de tresses.

Vlad Sergiescu (1993)

Mathematische Zeitschrift

Groupes de Garside

Patrick Dehornoy (2002)

Annales scientifiques de l'École Normale Supérieure

Displaying 1 – 7 of 7

Galois representations on profinite braid groups on curves.

Generalised Magnus modules over the braid group.

Generalizations of the standard Artin representation are unitary.

Geodesic automation and growth functions for Artin groups of finite type.

Geometric subgroups of surface braid groups

Graphes planaires et présentations des groupes de tresses.

Groupes de Garside

Currently displaying 1 – 7 of 7