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Description
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 |
This item appears in the following Collection(s)
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Dissertations and Theses - Mathematics
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Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois