Buildings and Groups

Kenneth S. Brown
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Kenneth S. Brown: Cornell University, Department of Mathematics

Chapter V in Buildings, 1989, pp 99-138 from Springer

Abstract: Abstract In this chapter we will develop the group theory that goes along with the theory of buildings, in much the same way that the theory of Coxeter groups goes along with the theory of Coxeter complexes. In particular, we will discover a class of groups G for which we can construct an associated building Δ, on which G acts as a group of type-preserving simplicial automorphisms.

Keywords: Weyl Group; Coxeter Group; Special Subgroup; Valuation Ring; Double Coset (search for similar items in EconPapers)
Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-1019-1_5

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DOI: 10.1007/978-1-4612-1019-1_5

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