Abstract
We prove that the topological kernel of a compact connected translation generalized quadrangle is topologically isomorphic to ℝ or ℂ. Moreover, it turns out that the unique orthogonal quadrangle over ℂ is the only compact connected translation generalized quadrangle whose topological kernel is isomorphic to ℂ.
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Joswig, M. Compact connected translation generalized quadrangles. Results. Math. 38, 72–87 (2000). https://doi.org/10.1007/BF03322432
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DOI: https://doi.org/10.1007/BF03322432