Braid Groups on Graphs

Sabalka, Lucas Adam
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http://hdl.handle.net/2142/86862

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Title:Braid Groups on Graphs
Author(s):Sabalka, Lucas Adam
Doctoral Committee Chair(s):Ilya Kapovich
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
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.
Issue Date:2006
Type:Text
Language:English
Description:109 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006.
URI:http://hdl.handle.net/2142/86862
Other Identifier(s):(MiAaPQ)AAI3223707
Date Available in IDEALS:2015-09-28
Date Deposited:2006


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