We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
On Flag-Transitive, Point-Quasiprimitive Symmetric 2-(v , k , λ) Designs with λ Prime.
- Authors
Zhang, Yongli; Shen, Jiaxin; Zhang, Zhilin
- Abstract
This paper contributes to the classification of flag-transitive symmetric 2- (v , k , λ) designs with λ prime. We investigate the structure of flag-transitive, point-quasiprimitive automorphism groups (G) of such 2-designs by applying the classification of quasiprimitive permutation groups. It is shown that the automorphism groups (G) have either an abelian socle or a non-abelian simple socle. Moreover, according to the classification of finite simple groups, we demonstrate that point-quasiprimitivity implies point-primitivity of G, except when the socle of G is P S L n (q) .
- Subjects
PERMUTATION groups; AUTOMORPHISM groups; FINITE simple groups
- Publication
Mathematics (2227-7390), 2023, Vol 11, Issue 24, p4938
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math11244938