Abstract
We begin this chapter with a return to basics and look at the underlying combinatorics of the Gaussian elimination procedure. This classical routine involves permutation of rows and columns of a matrix. The rules these permutations obey are extremely simple; when axiomatized in group-theoretic terms, they become what are known as axioms for a BN-pair (or a Tits system) and very quickly lead to Coxeter groups appearing on the scene.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2003 Birkhäuser Boston
About this chapter
Cite this chapter
Borovik, A.V., Gelfand, I.M., White, N. (2003). Buildings. In: Coxeter Matroids. Progress in Mathematics, vol 216. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2066-4_7
Download citation
DOI: https://doi.org/10.1007/978-1-4612-2066-4_7
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-7400-1
Online ISBN: 978-1-4612-2066-4
eBook Packages: Springer Book Archive