J. Bamberg

collaborators

2 papers

math.GR2026

There are no sharply transitive subsets of $SL (2, q)$ for $q \geq 13$

John Bamberg, Sam Mattheus

It was known at least to L.E. Dickson in 1901 that $SL (2, q)$ , in its natural action on $F_{q}^{2} ∖ {0}$ , has a sharply transitive subgroup only when $q\in\{2…

math.CO2026

Every special set of the Hermitian surface $H (3, q^{2})$ is classical

John Bamberg, Ethan Kealley

Special sets of the Hermitian surface $H (3, q^{2})$ , $q$ odd, were introduced by Shult and Thas (1995) in order to construct new finite generalised quadrangles, yet only one…

There are no sharply transitive subsets of SL(2,q) for q≥13

Every special set of the Hermitian surface H(3,q2) is classical

There are no sharply transitive subsets of $SL (2, q)$ for $q \geq 13$

Every special set of the Hermitian surface $H (3, q^{2})$ is classical