COVERS OF GENERALIZED QUADRANGLES
Glasgow mathematical journal, Tome 60 (2018) no. 3, pp. 585-601
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We 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.
THAS, JOSEPH A.; THAS, KOEN. COVERS OF GENERALIZED QUADRANGLES. Glasgow mathematical journal, Tome 60 (2018) no. 3, pp. 585-601. doi: 10.1017/S0017089517000313
@article{10_1017_S0017089517000313,
author = {THAS, JOSEPH A. and THAS, KOEN},
title = {COVERS {OF} {GENERALIZED} {QUADRANGLES}},
journal = {Glasgow mathematical journal},
pages = {585--601},
year = {2018},
volume = {60},
number = {3},
doi = {10.1017/S0017089517000313},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089517000313/}
}
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