Constructing flag-transitive, point-imprimitive designs

被引：7
|
作者：
Cameron, Peter J. [1 ]
Praeger, Cheryl E. [2 ]
机构：
[1] Univ St Andrews, Math Inst, St Andrews, Fife, Scotland
[2] Univ Western Australia, Sch Math & Stat, Crawley, WA 6009, Australia
来源：
JOURNAL OF ALGEBRAIC COMBINATORICS | 2016年 / 43卷 / 04期
关键词：
Design; Flag-transitive; Symmetric design; Automorphisms; Point-imprimitive; SYMMETRIC DESIGNS;
D O I：
10.1007/s10801-015-0591-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a construction of a family of designs with a specified point-partition and determine the subgroup of automorphisms leaving invariant the point-partition. We give necessary and sufficient conditions for a design in the family to possess a flag-transitive group of automorphisms preserving the specified point-partition. We give examples of flag-transitive designs in the family, including a new symmetric 2-(1408,336,80) design with automorphism group 2(12) : ((3 center dot M-22) : 2) and a construction of one of the families of the symplectic designs (the designs S-(n)) exhibiting a flag-transitive, point-imprimitive automorphism group.
引用
收藏
页码：755 / 769
页数：15
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