Seminars on Discrete Mathematics: On the multipliers of a Singer quadrangle

Speaker：Wendi Di (East China University of Science and Technology)

Time：2026-5-12 10:00

Location：Conference Room S204 at Experiment Building at Haiyun Campus

Abstract:

A finite generalized quadrangle S is a Singer quadrangle if it has an automorphism group that acts sharply transitively on its points. In this talk, we introduce the notion of multipliers for a Singer quadrangle and study their basic properties. As an application, we show that a point-primitive automorphism group of a thick generalized quadrangle can not have O’Nan-Scott type HS (holomorph simple), which answers an open problem in [1].

[1]J. Bamberg, T. Popiel, C. E. Praeger, Simple groups, product actions, and generalized quadrangles, Nagoya Math. J., 234 (2019), 87--126.