Braid Groups on Graphs

We use the partial description of cohomology to reconstruct the tree T from a given four strand tree braid group B 4T up to homeomorphism. Thus tree braid groups B4T and trees T (up to homeomorphism) are in bijective correspondence. We use this bijection to solve a version of the isomorphism problem for tree braid groups with n = 4 strands.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2015

Author dc:creator

• Sabalka, Lucas Adam

Contributors dc:contributor

• Ilya Kapovich

• Mathematics

Language dc:language

eng

Identifier

(MiAaPQ)AAI3223707

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/86862