| A Family of Non-quasiprimitive Graphs Constructed From PSU3（q） Where q Is Odd |
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| 作者姓名： | Shi Feng DING |
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| 作者单位： | Department of Mathematics, Central South University, Changsha 410075, P. R. China |
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| 基金项目： | This work is supported by the National Natural Science Foundation of China （10471152）Acknowledgements The paper was written during the time the author held a post-doctoral position at Central South University. |
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| 摘 要： | Let Г be a simple connected graph and let G be a group of automorphisms of Г. Г is said to be （G, 2）-arc transitive if G is transitive on the 2-arcs of Г. It has been shown that there exists a family of non-quasiprimitive （PSU3（q）, 2）-arc transitive graphs where q = 2^3m with m an odd integer. In this paper we investigate the case where q is an odd prime power.
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| 关 键 词： | 图表 2-弧传递 数学模型 数学分析 |
A family of non-quasiprimitive graphs constructed from PSU3(q) where q is odd |
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| Shi Feng DING.A family of non-quasiprimitive graphs constructed from PSU3(q) where q is odd[J].Acta Mathematica Sinica,2008,24(7):1155-1162. |
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| Authors: | Shi Feng Ding |
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| Institution: | (1) Department of Mathematics, Central South University, Changsha, 410075, P. R. China |
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| Abstract: | Let Γ be a simple connected graph and let G be a group of automorphisms of Γ. Γ is said to be (G, 2)-arc transitive if G is transitive on the 2-arcs of Γ. It has been shown that there exists a family of non-quasiprimitive (PSU3(q), 2)-arc transitive graphs where q = 23m
with m an odd integer. In this paper we investigate the case where q is an odd prime power.
This work is supported by the National Natural Science Foundation of China (10471152) |
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| Keywords: | graph 2-arc transitive PSU3(q) |
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