A Family of Non-quasiprimitive Graphs Admitting a Quasiprimitive 2-arc Transitive Group Action

A Family of Non-quasiprimitive Graphs Admitting a Quasiprimitive 2-arc Transitive Group Action
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DOI:
10.1006/eujc.1999.0304
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发表时间:
1999-08
期刊:
Eur. J. Comb.
影响因子:
--
通讯作者:
X. Fang;G. Havas;Jie Wang
X. Fang;G. Havas;Jie Wang
中科院分区:
其他
文献类型:
--
作者:
X. Fang;G. Havas;Jie Wang

文献摘要

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Let ? be a simple graph and let G be a group of automorphisms of ?. The graph is (G, 2)-arc transitive if G is transitive on the set of the 2-arcs of? . In this paper we construct a new family of (PSU(3, q2), 2)-arc transitive graphs ? of valency 9 such that Aut?=Z3.G , for some almost simple group G with socle PSU(3, q2). This gives a new infinite family of non-quasiprimitive almost simple graphs.