You are here: Seminars > 2024 > April 10th
SUSTech
Time: 16:00-17:00 (GMT+8), Wednesday April 10th, 2024
Location: Zoom
Abstract:
Let \(V\) be a finite vector space over a field of prime order.
Recall that a remarkable result of Hering in 1985 classifies the subgroups of \(\mathrm{GL}(V)\) which act transitively on non-zero vectors.
Later in 1987, Liebeck gave a complete classification of irreducible subgroups of \(\mathrm{GL}(V)\) with exactly \(3\) orbits on \(V\).
In this talk, we analyze reducible subgroups of \(\mathrm{GL}(V)\) with exactly \(3\) orbits, which is a step towards a classification of finite permutation groups of rank \(3\).
Joint work with Cai Heng Li and Yan Zhou Zhu.
Host: 黄弘毅 Hong Yi Huang