PreprintarXiv licencearXiv
Reduction for flag-transitive symmetric 2-designs with gcd(k, λ) = p
Abstract
We study symmetric 2-(v, k, λ) designs admitting a flag-transitive point-primitive subgroup G of automorphisms, where gcd(k, λ) = p and p is a prime. In this paper, we show that G is of affine or almost simple type.
Related
- Mathieu groups as flag-transitive automorphism groups of block designs
- On topologically transitive subsets of flag manifolds
- Primitive flag-transitive generalized quadrangles
- Block-Transitive $5−(v,k,2)$ Designs with k divides v
- The intersection of two real flag manifolds in a complex flag manifold, and the canonical form of a compact symmetric triad
BibTeX
@misc{lu2026reduction,
title = {{Reduction for flag-transitive symmetric 2-designs with gcd(k, λ) = p}},
author = {Ziwei Lu and Yu Sun and Shenglin Zhou},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.19400},
eprint = {2610.19400},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.19400},
}
RIS
TY - UNPB
TI - Reduction for flag-transitive symmetric 2-designs with gcd(k, λ) = p
AU - Ziwei Lu
AU - Yu Sun
AU - Shenglin Zhou
PY - 2026
DA - 2026/10/14
PB - arXiv
DO - 10.48550/arxiv.2610.19400
UR - https://arxiv.org/abs/2610.19400
AB - We study symmetric 2-(v, k, λ) designs admitting a flag-transitive point-primitive subgroup G of automorphisms, where gcd(k, λ) = p and p is a prime. In this paper, we show that G is of affine or almost simple type.
ER -