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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.
Artin groups, Dehn twists
Date of Defense
March 28, 2011
A Dissertation submitted to the Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
Includes bibliographical references.
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.
Florida State University
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