TL;DR
This paper presents new classification results in the theory of skew translation generalized quadrangles, addressing long-standing open problems in the structure of these mathematical objects.
Contribution
It provides novel classification results for STGQs, solving several longstanding open problems in the theory of generalized quadrangles.
Findings
New classification results for STGQs
Resolution of long-standing open problems
Advancement in understanding Tits-buildings of rank 2
Abstract
We describe new classification results in the theory of generalized quadrangles (= Tits-buildings of rank and type ), more precisely in the (large) sub theory of skew translation generalized quadrangles ("STGQs"). Some of these involve, and solve, long-standing open problems.
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Taxonomy
TopicsFinite Group Theory Research · Coding theory and cryptography · Algebraic structures and combinatorial models