2003 | OriginalPaper | Buchkapitel
Buildings
verfasst von : Alexandre V. Borovik, I. M. Gelfand, Neil White
Erschienen in: Coxeter Matroids
Verlag: Birkhäuser Boston
Enthalten in: Professional Book Archive
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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.