Abstract
In this paper we completely classify infinite cyclic projective skew translation quadrangles through a new approach first partially introduced in Thas (A question of Frohardt on 2-groups, skew translation quadrangles of even order and cyclic STGQs. Preprint (2022), 11 pp), and in the present paper (unexpectedly) adapted to the infinite case. Very surprisingly, these objects do not exist and only occur in the finite case.
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The author wants to thank an anonymous referee for noting a number of very useful remarks.
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Thas, K. Infinite cyclic projective skew translation quadrangles do not exist. Math. Ann. 388, 4307–4316 (2024). https://doi.org/10.1007/s00208-023-02626-6
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DOI: https://doi.org/10.1007/s00208-023-02626-6