Simple Connectivity in Polar Spaces with Group-Theoretic Applications
Author:
Nessler, Reed, Mathematics - Graduate School of Arts and Sciences, University of Virginia
Nessler, Reed, Mathematics - Graduate School of Arts and Sciences, University of Virginia
Advisor:
Abramenko, Peter, Department of Mathematics, University of Virginia
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)
PHD (Doctor of Philosophy)
Language:
English
English
Rights:
All rights reserved (no additional license for public reuse)
All rights reserved (no additional license for public reuse)
Issued Date:
2014/07/31
2014/07/31
