Compact Generalised Quadrangles with Parameter 1 and Large Group of Automorphisms

Author: Schroth A.E.  

Publisher: Springer Publishing Company

ISSN: 0046-5755

Source: Geometriae Dedicata, Vol.83, Iss.1-3, 2000-12, pp. : 245-272

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Abstract

If the group of automorphisms of a compact generalised quadrangle with parameter 1 has dimension at least 6, the quadrangle is the real symplectic quadrangle or its dual. There are nonclassical compact generalised quadrangles with parameter 1 whose group of automorphism has dimension 5.