Online Archive of University of Virginia Scholarship
Bounded Generation of Two Families of S-Arithmetic Groups671 views
Author
Heald, Andrea, Mathematics - Graduate School of Arts and Sciences, University of Virginia
Advisors
Rapinchuk, Andrei, Department of Mathematics, University of Virginia
Abstract
The objective of this work is to establish bounded generation for two families of S- arithmetic groups. We first establish bounded generation for the special linear group over certain S-orders of a quaternion algebra. We also establish bounded generation for certain special unitary groups.
This thesis consists of three chapters. The first chapter provides much of the background necessary as well as providing some applications of bounded generation. The second chapter contains the proof of bounded generation for some special linear groups, and the third chapter contains the proof of bounded generation for some special unitary groups.
Degree
PHD (Doctor of Philosophy)
Keywords
Bounded Generation; Arithmetic Groups
Language
English
Rights
All rights reserved (no additional license for public reuse)
Heald, Andrea. Bounded Generation of Two Families of S-Arithmetic Groups. University of Virginia, Mathematics - Graduate School of Arts and Sciences, PHD (Doctor of Philosophy), 2013-06-07, https://doi.org/10.18130/V3ZK17.