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Automorphisms of Unitals

2006
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Bulletin of the Belgian Mathematical Society Simon Stevin
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It is shown that every automorphism of classical unitals over certain (not necessarily commutative) fields is induced by a semi-similitude of a corresponding hermitian form. In particular, this is true if the form uses an involution of the second kind. In [16], J. Tits has studied classical unitals, defined by suitable polarities. Using the Borel-Tits Theorem [2], he determines the full group of automorphisms in the special case where the ground field is commutative and infinite. The finite

doi:10.36045/bbms/1136902624
fatcat:arncudf3fjbrvlramxu72eanoa