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University of Illinois at Urbana-Champaign
Solutions of Quadratic Equations in Small Cancellation Groups
Abstract
dc:descriptionThe main results are classifications of the solutions of quadratic equations in small cancellation quotients of free groups and free products. Paul E. Schupp has obtained similar results for a restricted class of quadratic equations (those without constants). Some of the methods used here were previously employed by Leo P. Comerford and Charles C. Edmunds in their study of algorithmic problems on the solutions of quadratic equations. The principal tools are the construction of cancellation diagrams on compact surfaces with boundary and an analysis of the co-initial graphs of quadratic words.
Degree
thesis:*- 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
- 2014
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Anderson, Claude Wilson, III
Subjects
dc:subject × 1Rights
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
- (UMI)AAI8203393
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/68184