On rigidity and the isomorphism problem for tree braid groups.

DOI10.4171/GGD/67zbMath1231.20033arXiv0711.1160OpenAlexW1986238439MaRDI QIDQ838401

Lucas Sabalka

Publication date: 25 August 2009

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.1160

zbMATH Keywords

configuration spacesgroup cohomologyisomorphism problemdiscrete Morse theoryright-angled Artin groupsexterior face algebrastree braid groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Braid groups; Artin groups (20F36) Cohomology of groups (20J06) Topological methods in group theory (57M07) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items

Geometry and Combinatorics via Right-Angled Artin Groups, Edge stabilization in the homology of graph braid groups, Right-angled Artin groups and a generalized isomorphism problem for finitely generated subgroups of mapping class groups, Embeddability between right-angled Artin groups.., Profinite properties of RAAGs and special groups, On braid groups and right-angled Artin groups, Abrams's stable equivalence for graph braid groups, Hamiltonicity via cohomology of right-angled Artin groups, Topological complexity of \(n\) points on a tree, Subdivisional spaces and graph braid groups, An algebraic characterization of 𝑘–colorability, Linear configurations of complete graphs K4 and K5 in ℝ3, and higher dimensional analogs, Cohomology ring of tree braid groups and exterior face rings

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