We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
On symmetric designs with flag‐transitive and point‐quasiprimitive automorphism groups.
- Authors
Zhang, Zhilin; Chen, Jianfu; Zhou, Shenglin
- 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 P, then G is of holomorph affine or almost simple type. Moreover, if G is imprimitive on P, then G is of almost simple type. According to this observation and to the classification of the finite simple groups we determine all such symmetric designs and the corresponding automorphism groups. We conclude with two open problems and a conjecture.
- Subjects
AUTOMORPHISMS; PERMUTATION groups; FINITE simple groups; AUTOMORPHISM groups
- Publication
Journal of Combinatorial Designs, 2024, Vol 32, Issue 3, p107
- ISSN
1063-8539
- Publication type
Article
- DOI
10.1002/jcd.21924