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https://hdl.handle.net/2142/86862
Description
Title
Braid Groups on Graphs
Author(s)
Sabalka, Lucas Adam
Issue Date
2006
Doctoral Committee Chair(s)
Ilya Kapovich
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Language
eng
Abstract
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.
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