On infinite \(K\)-clan geometry (Q1281729)

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scientific article; zbMATH DE number 1268128
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On infinite \(K\)-clan geometry
scientific article; zbMATH DE number 1268128

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    On infinite \(K\)-clan geometry (English)
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    27 April 2000
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    This paper is a continuation of that of \textit{F. De Clerck} and \textit{H. Van Maldeghem} [Bull. Belg. Math. Soc. -- Simon Stevin 1, No. 3, 399-415 (1994; Zbl 0811.51004)]. The authors: (i) characterize infinite elation generalized quadrangles as group coset geometries and give another proof of the main result of the upper work, (ii) study isomorphisms between infinite partial and complete generalized quadrangles constructed from flocks and partial flocks of quadratic cones, and (iii) survey the known infinite families of finite flocks to see which ones easily generalize to give families of infinite generalized quadrangles.
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    elation generalized quadrangles
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    flocks
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