3 papers
math.GR2025
A unital in the generalized hexagon of order two, and an exceptional isomorphism between finite groups of Lie type
Markus J. Stroppel
We construct a model of the Hermitian unital of order 3 (obtained from the non-degenerate hermitian form in three variables over the field of order 9) inside the octonion algebra o…
math.GR2025
Construction of the smallest Ree-Tits unital from the special linear group of degree two over the field with eight elements
Markus Johannes Stroppel
We construct the smallest Ree-Tits unital from a group of matrices that is isomorphic to the commutator group of the corresponding Ree group. The matrix description is used to dete…
math.CO2024
Unitals without O'Nan configurations are classical if they admit all translations
Markus Johannes Stroppel
We prove the statement in the title: if a (finite) unital admits all translations and contains no O'Nan configurations then the unital is classical, i.e., isomorphic to the Hermiti…