Abstract commensurators of braid groups.

DOI10.1016/j.jalgebra.2005.09.015zbMath1103.20034arXivmath/0501480OpenAlexW2123701789MaRDI QIDQ2497416

Dan Margalit, Christopher J. Leininger

Publication date: 4 August 2006

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501480

zbMATH Keywords

braid groupsabstract commensuratorsextended mapping class groups

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (9)

Commensurability in Artin groups of spherical type ⋮ Geometry and Combinatorics via Right-Angled Artin Groups ⋮ The abstract commensurator of Baumslag-Solitar groups. ⋮ Commensurators of finitely generated nonfree Kleinian groups. ⋮ Automorphisms of the Torelli complex and the complex of separating curves ⋮ Automorphism groups of some pure braid groups. ⋮ Curve complexes and finite index subgroups of mapping class groups ⋮ Braid groups and the co-Hopfian property. ⋮ On abstract commensurators of groups

Cites Work

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• The Torelli geometry and its applications. Research announcement
• Automorphism groups of some affine and finite type Artin groups.
• Commensurations of the Johnson kernel
• Automorphisms and abstract commensurators of 2-dimensional Artin groups.
• Commensurations of \(\text{Out}(F_n)\).
• Injections of Artin groups.
• The Automorphism Groups of the Braid Groups

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