
TL;DR
This paper develops a general theory for factorizing 2-covers of finite classical generalized quadrangles, addressing an open problem and exploring related geometrical structures and isomorphism issues.
Contribution
It introduces a new framework for cover factorization in generalized quadrangles and solves an existing open problem about 2-covers.
Findings
New results on semipartial geometries from θ-covers
Solution to the isomorphism problem for covers
Development of a general theory of cover factorization
Abstract
We solve a problem posed by Cardinali and Sastry [2] about factorization of -covers of finite classical generalized quadrangles. To that end, we develop a general theory of cover factorization for generalized quadrangles, and in particular we study the isomorphism problem for such covers and associated geometries. As a byproduct, we obtain new results about semipartial geometries coming from -covers, and consider related problems.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
