Reflections on Concrete Buildings

William M. Kantor
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William M. Kantor: University of Oregon, Department of Mathematics

A chapter in Geometries and Groups, 1988, pp 121-145 from Springer

Abstract: Abstract In the last few years there have been many constructions and characterizations of finite groups acting chamber-transitively on finite building-like geometries. A number of these even dealt more generally with locally finite geometries: ones in which all stars are finite. Many of the examples, and some of the results, are concerned with quotients of affine buildings over locally compact local fields. The purpose of this note is two-fold: to discuss many of the known examples from a somewhat new point of view (§2), and to describe a characterization theorem due jointly to Liebler, Tits and myself (§3).

Keywords: Automorphism Group; Conjugacy Class; Algebraic Group; Frobenius Group; Concrete Building (search for similar items in EconPapers)
Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-4017-8_3

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DOI: 10.1007/978-94-009-4017-8_3

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