Abstract
An affine extended dual polar space is a geometry with the diagram
in which the residue of an element of the leftmost type is a classical dual polar space and which possesses a flag-transitive automorphism group with a normal subgroup acting regularly on the set of elements of the leftmost type. We reduce the classification of affine extended dual polar spaces to calculation of the universal representation groups of classical dual polar spaces with 3 points on each line.
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Alexander A. Ivanov, Department of Mathematics, Imperial College, 180 Queen’s Gate, London, SW7 2BZ, England, UK
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Ivanov, A.A. (1998). Affine Extended Dual Polar Spaces. In: di Martino, L., Kantor, W.M., Lunardon, G., Pasini, A., Tamburini, M.C. (eds) Groups and Geometries. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8819-6_9
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DOI: https://doi.org/10.1007/978-3-0348-8819-6_9
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