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Bounded Generation of Two Families of S-Arithmetic Groups

Heald, Andrea
Format
Thesis/Dissertation; Online
Author
Heald, Andrea
Advisor
Rapinchuk, Andrei
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.
Language
English
Published
University of Virginia, Department of Mathematics, PHD, 2013
Published Date
2013-06-07
Degree
PHD
Collection
Libra ETD Repository
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