Online Archive of University of Virginia Scholarship
Simple Connectivity in Polar Spaces with Group-Theoretic Applications476 views
Author
Nessler, Reed, Mathematics - Graduate School of Arts and Sciences, University of Virginia
Advisors
Abramenko, Peter, Department of Mathematics, University of Virginia
Abstract
In this dissertation, I prove that ∆°( C ) is simply connected, for any chamber C of a nonembeddable polar space ∆, using a recent coordinate description of these spaces. This fact is used in describing some group amalgamations in the setting of BN-pairs and related structures. Finally I discuss some progress in studying ∆°( C ) in a building of type F4.
Degree
PHD (Doctor of Philosophy)
Language
English
Rights
All rights reserved (no additional license for public reuse)
Nessler, Reed. Simple Connectivity in Polar Spaces with Group-Theoretic Applications. University of Virginia, Mathematics - Graduate School of Arts and Sciences, PHD (Doctor of Philosophy), 2014-07-31, https://doi.org/10.18130/V3ZK0V.
