Locally 2-homogeneous block designs
This paper presents a classification of locally $2$-homogeneous designs, extending Kantor's classification of 2-transitive symmetric designs (1985).
math.CO↗
arXiv subjects
Peice Hua
Publications and source records attributed to Peice Hua.
Finite 2-groups having a cyclic or dihedral maximal subgroup and arc-transitive maps
We classify all finite 2-groups that have a cyclic or dihedral maximal subgroup and determine their automorphism groups. Based on this result, we classify all pairs $ (G,\mathcal{M}) $, such that $ G $ is a finite 2-group and $ \mathcal{M} $ is a $ G $-arc-transitive map with Euler characteristic not being divisible by 4.
math.GR↗
Locally primitive block designs
A locally primitive 2-design is a 2-design admitting an automorphism group $G$ with primitive local actions. It is proved that $G$ is point-primitive, and either $G$ is an almost simple group, or $G$ acting on the points is an affine group.
math.CO↗