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math.GR2023
On finite permutation groups of rank three
Hong Yi Huang, Cai Heng Li, Yan Zhou Zhu
The classification of the finite primitive permutation groups of rank was completed in the 1980s and this landmark achievement has found a wide range of applications. In the ge…
math.GR2023
Base sizes of primitive groups of diagonal type
Hong Yi Huang
Let be a permutation group on a finite set . The base size of is the minimal size of a subset of with trivial pointwise stabiliser in . In this paper, we extend e…
math.GR2020★ 2 cited
On Valency Problems of Saxl Graphs
Jiyong Chen, Hong Yi Huang
Let be a permutation group on a set and recall that a base for is a subset of such that its pointwise stabiliser is trivial. In a recent paper, Burness and Giudici…