Some of the material in is restricted to members of the community. By logging in, you may be able to gain additional access to certain collections or items. If you have questions about access or logging in, please use the form on the Contact Page.
Mortada, J. (2011). Artin and Dehn Twist Subgroups of the Mapping Class Group. Retrieved from https://purl.lib.fsu.edu/diginole/FSU_Mortada_2011_Spring
This dissertation investigates two types of subgroups in the mapping class group of an orientable surface. The first type of subgroups are isomorphic images of Artin groups. The second type of subgroups is one which is generated by three Dehn twists along simple closed curves with small geometric intersections.
Keywords
Artin groups, Dehn twists
Date of Defense
March 28, 2011
Submitted Note
A Dissertation submitted to the Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
Bibliography Note
Includes bibliographical references.
Advisory Committee
Sergio Fenley, Professor Directing Dissertation; Eriko Hironaka, Professor Co-Directing Dissertation; Jorge Piekarewicz, University Representative; Philip Bowers, Committee Member; Wolfgang Heil, Committee Member; Eric Klassen, Committee Member.
Publisher
Florida State University
Identifier
FSU_Mortada_2011_Spring
Use and Reproduction
This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). The copyright in theses and dissertations completed at Florida State University is held by the students who author them.
Mortada, J. (2011). Artin and Dehn Twist Subgroups of the Mapping Class Group. Retrieved from https://purl.lib.fsu.edu/diginole/FSU_Mortada_2011_Spring
