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Simple Connectivity in Polar Spaces With Group-Theoretic Applications

Nessler, Reed
Format
Thesis/Dissertation; Online
Author
Nessler, Reed
Advisor
Abramenko, Peter
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.
Language
English
Published
University of Virginia, Department of Mathematics, PHD (Doctor of Philosophy), 2014
Published Date
2014-07-31
Degree
PHD (Doctor of Philosophy)
Collection
Libra ETD Repository
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