A Classification of Flag-transitive Classical c.C2-geometries by Means of Generators and Relations
نویسندگان
چکیده
منابع مشابه
On Flag-transitive Anomalous C 3 -geometries
A nite C 3-geometry is called anomalous if it is neither a building nor the A 7-geometry. It is conjectured that no ag-transitive thick anomalous C 3-geometry exists. For a ag-transitive thick anomalous C 3-geometry, we prove that its 2-order y is odd and that its full automorphism group is non-solvable. As a corollary, there are no ag-transitive circular extensions of duals of anomalous C 3-ge...
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We study flat flag-transitive c.c∗-geometries. We prove that, apart from one exception related to Sym(6), all these geometries are gluings in the meaning of [6]. They are obtained by gluing two copies of an affine space over GF(2). There are several ways of gluing two copies of the n-dimensional affine space over GF(2). In one way, which deserves to be called the canonical one, we get a geometr...
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15 صفحه اولThe Flag-Transitive C3-Geometries of Finite Order
It is shown that a flag-transitive C3-geometry of finite order (x, y) with x > 2 is either a finite building of type (73 (and hence the classical polar space for a 6-dimensional symplectic space, a 6-dimensional orthogonal space of plus type, a 6or 7-dimensional hermidan space, a 7-dimensional orthogonal space, or an 8-dimensional orthogonal space of minus type) or the sporadic A7 -geometry wit...
متن کاملClassification of Flag-Transitive Steiner Quadruple Systems
A Steiner quadruple system of order v is a 3 − (v, 4, 1) design, and will be denoted SQS(v). Using the classification of finite 2-transitive permutation groups all SQS(v) with a flag-transitive automorphism group are completely classified, thus solving the ”still open and longstanding problem of classifying all flag-transitive 3− (v, k,1) designs” (cf. [5, p. 273], [6]) for the smallest value o...
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ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 1991
ISSN: 0195-6698
DOI: 10.1016/s0195-6698(13)80082-0