Year: 2026
Type: article
Abstract: ABSTRACT In this paper, we classify nontrivial ‐ designs with and admitting an automorphism group that acts primitively with rank 3 on the block set, under the assumption that the socle is a sporadic simple group or an alternating group. We show that, apart from the known symmetric examples, the only possibilities are the 2‐, 3‐, and 4‐designs associated with the Mathieu groups and , together with a small number of 2‐designs on points arising from alternating groups.
Source: Journal of Combinatorial Designs
DOI: 10.1002/jcd.70034
Authors: Suyun Ding, Xiaoqin Zhan
Institution: East China Jiaotong University
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
Awards: G2032835083, G647305582, G7901427153
OpenAlex ID: W7211913640