Flag-transitive symmetric 2-designs of prime order

被引：0
作者：
Ziwei Lu
Shenglin Zhou
机构：
[1] South China University of Technology,School of Mathematics
来源：
Designs, Codes and Cryptography | 2024年 / 92卷
关键词：
Flag-transitive; Order; Symmetric design; 05B05; 05B25; 20B25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study a flag-transitive automorphism group G of symmetric 2-(v,k,λ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(v,k,\lambda )$$\end{document} designs, where λ>1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda >1$$\end{document} and the order n=k-λ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$n=k-\lambda $$\end{document} is a prime number. We prove that G is point-primitive, and it is of affine or almost simple type.
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页码：259 / 266
页数：7
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