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Marian Margraf, Nils Rosehr

Compact Tits quadrangles as Lie geometries of topological Laguerre spaces

Keywords: Topological generalized quadrangle, quadrangle of Tits type, topological Laguerre space, Lie geometry

We prove that the Lie geometry of a locally compact connected Laguerre space forms a compact connected generalized quadrangle. Moreover, if the geometric dimension of such a Laguerre space is at least three, this generalized quadrangle is isomorphic to a generalized quadrangle of Tits type; all compact connected generalized quadrangles of Tits type arise from Laguerre spaces.

Advances in Geometry, Walter de Gruyter

Print ISSN: 1615-715X
Volume: 7, 04/2007
Pages: 249 - 273

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