An infinite family of biquasiprimitive 2-arc transitive cubic graphs

被引：5
作者：
Devillers, Alice [1 ]
Giudici, Michael [1 ]
Li, Cai Heng [1 ]
Praeger, Cheryl E. [1 ]
机构：
[1] Univ Western Australia, Sch Math & Stat, Ctr Math Symmetry & Computat, Crawley, WA 6009, Australia
来源：
JOURNAL OF ALGEBRAIC COMBINATORICS | 2012年 / 35卷 / 02期
基金：
澳大利亚研究理事会;
关键词：
2-arc-transitive graphs; Quasiprimitive; Biquasiprimitive; Normal quotient; Automorphism group; PERMUTATION-GROUPS;
D O I：
10.1007/s10801-011-0299-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A new infinite family of bipartite cubic 3-arc transitive graphs is constructed and studied. They provide the first known examples admitting a 2-arc transitive vertex-biquasiprimitive group of automorphisms for which the index two subgroup fixing each half of the bipartition is not quasiprimitive on either bipartite half.
引用
收藏
页码：173 / 192
页数：20
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