Abstract Let D=(P, ℬ) be a nontrivial symmetric (v, k, λ)‐design with λ≤ 100, and let G be a
flag‐transitive automorphism group of D. In this paper, we show that if G is quasiprimitive on …

Let D be a nontrivial 3-(v, k, 1) design admitting a block-transitive group G of automorphisms.
A recent work of Gan and the second author asserts that G is either affine or almost simple …

The paper summarises existing theory and classifications for finite line-transitive linear
spaces, develops the theory further, and organises it in a way that enables its effective …

Let D be a non-trivial G-block-transitive 3-(v, k, 1) design, where T≤ G≤ Aut (T) for some
finite non-abelian simple group T. It is proved that if T is a simple exceptional group of Lie …

This work is a part of the general program to classify point-primitive finite linear spaces. Let
𝒮 be a non-trivial finite regular linear space with mp points and G≤ Aut (𝒮) be point …

The classification of all block-transitive 2−(v, k, 1) designs has been known as a long-
standing and still open problem. This work is a contribution to the general program to …

The purpose of this paper is to classify all pairs, where is a nontrivial 2‐design, and acts
transitively on the set of blocks of and primitively on the set of points of with sporadic socle …

Automorphism groups of linear spaces and their parabolic subgroups Page 1 Journal of
Combinatorial Theory, Series A 116 (2009) 1–11 Contents lists available at ScienceDirect …

In this paper, we study block transitive automorphism groups of 2-(v, k, 1) block designs. Let
D be a 2-(v, k, 1)(k= 6, 7, 8, 9) design admitting a block transitive, point primitive but not flag …

In 2005, Huber proved that the flag-transitive group of automorphisms for a Steiner 3-design
must act 2-transitively on the point set. He also classified flag-transitive Steiner 3-designs. It …