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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…