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Finite geometries
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  • Finite Geometries, Groups, and Computationby Alexander Hulpke; Tim Penttila; Ákos Seress

    Walter de Gruyter, Inc. 2006; US$ 158.00

    Contains the proceedings of a conference on Finite Geometries, Groups, and Computation that took place in September 4-9, 2004, at Pingree Park, Colorado (a campus of Colorado State University). This work serves to introduce both students and the mathematical community to the important topics and gives an overview of developments in these fields. more...

  • Q-clan Geometries in Characteristic 2by Ilaria Cardinali; Stanley E. Payne

    Springer 2007; US$ 59.95

    A q-clan with q a power of 2 is equivalent to a certain generalized quadrangle with a family of subquadrangles each associated with an oval in the Desarguesian plane of order 2. It is also equivalent to a flock of a quadratic cone, and hence to a line-spread of 3-dimensional projective space and thus to a translation plane, and more. These geometric objects are tied together by the so-called Fundamental Theorem of q-Clan Geometry. The book gives a complete proof of this theorem, followed by a detailed study of the known examples. The collineation groups of the associated generalized quadrangles and the stabilizers of their associated ovals are worked out completely. more...

  • Combinatorics of Finite Geometriesby Lynn Margaret Batten

    Cambridge University Press 1997; US$ 38.00

    Thoroughly revised and updated, with an entirely new chapter on blocking sets in linear spaces. more...

  • Finite Geometries and Combinatoricsby F. de Clerck; J. Hirschfeld

    Cambridge University Press 1993; US$ 84.00

    This is a collection of 35 articles on covering topics such as finite projective spaces, generalised polygons, strongly regular graphs, diagram geometries and polar spaces. more...

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