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COVERS OF GENERALIZED QUADRANGLES
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AbstractWe solve a problem posed by Cardinali and Sastry (Elliptic ovoids and their rosettes in a classical generalized quadrangle of even order.Proc. Indian Acad. Sci. Math. Sci.126(2016), 591–612) about factorization of 2-covers of finite classical generalized quadrangles (GQs). To that end, we develop a general theory of cover factorization for GQs, and in particular, we study the isomorphism problem for such covers and associated geometries. As a byproduct, we obtain new results about semi-partial geometries coming from θ-covers, and consider related problems.
Title: COVERS OF GENERALIZED QUADRANGLES
Description:
AbstractWe solve a problem posed by Cardinali and Sastry (Elliptic ovoids and their rosettes in a classical generalized quadrangle of even order.
Proc.
Indian Acad.
Sci.
Math.
Sci.
126(2016), 591–612) about factorization of 2-covers of finite classical generalized quadrangles (GQs).
To that end, we develop a general theory of cover factorization for GQs, and in particular, we study the isomorphism problem for such covers and associated geometries.
As a byproduct, we obtain new results about semi-partial geometries coming from θ-covers, and consider related problems.
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