We solve a problem posed by Cardinali and Sastry [2] about factorization of$2$-covers of finite classical generalized quadrangles. To that end, we developa general theory of cover factorization for generalized quadrangles, and inparticular we study the isomorphism problem for such covers and associatedgeometries. As a byproduct, we obtain new results about semipartial geometriescoming from $\theta$-covers, and consider related problems.
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