单纯3-设计与群PSL(2,q)，q≡1(mod4)
Simple 3-Designs and Group PSL(2,q), q≡1(mod4)
DOI: 10.12677/PM.2021.1110188, PDF,    国家自然科学基金支持
作者: 韦萌萌, 李伟霞*：青岛大学数学与统计学院，山东 青岛
关键词: 3-齐次的；自同构群；3-设计；3-Homogeneous； Automorphism Group； 3-Design
摘要: 在本文中，我们以特殊射影线性群PSL(2,q)为自同构群，考虑了PSL(2,q)在射影直线X=GF(q)∪{∞}上的作用，其中q是一个素数幂且q≡1(mod4)。通过取PSL(2,q)作用下的轨道的并，我们构建了一些单纯3-设计。
Abstract: In this paper, we consider the action of PSL(2,q) acting as a group of automorphisms on the projective line X=GF(q)∪{∞}, where q is a prime power and congruent to 1 modulo 4. We construct some simple 3-designs by taking a union of orbits under the action of PSL(2,q).
文章引用：韦萌萌, 李伟霞. 单纯3-设计与群PSL(2,q)，q≡1(mod4)[J]. 理论数学, 2021, 11(10): 1685-1690. https://doi.org/10.12677/PM.2021.1110188

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