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Reflections on Concrete Buildings

In: Geometries and Groups

Author

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  • William M. Kantor

    (University of Oregon, Department of Mathematics)

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).

Suggested Citation

  • William M. Kantor, 1988. "Reflections on Concrete Buildings," Springer Books, in: M. Aschbacher & A. M. Cohen & W. M. Kantor (ed.), Geometries and Groups, pages 121-145, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-4017-8_3
    DOI: 10.1007/978-94-009-4017-8_3
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