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容许二维线性群作用点本原的二弧传递图

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容许二维线性群作用点本原的二弧传递图 化小会1, 陈利1, 张水宾21. 河南师范大学数学与信息科学学院, 新乡 453007;
2. 新乡市职业教育中心, 新乡 453007 Finite Vertex Primitive 2-arc Transitive Graphs Admitting a Two-dimensional Linear Group HUA Xiaohui1, CHEN Li1, ZHANG Shuibin21. College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China;
2. Xinxiang Vocational Education Center, Xinxiang 453007, China
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摘要一个图称为本原的如果它的自同构群作用在点集上是本原的.在这篇文章里,我们不但完全分类了容许一类二维线性群作用点本原的2-弧传递图,而且决定了他们的自同构群,并在同构意义下决定了它们的个数.
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收稿日期: 2015-12-23
PACS:O157.5
基金资助:国家自然基金(11301159,115010176,11526082),河南省教育厅科学与技术研究重点项目(13A110543),河南师范大学青年教师基金项目(2012QK01)资助.
引用本文:
化小会, 陈利, 张水宾. 容许二维线性群作用点本原的二弧传递图[J]. 应用数学学报, 2017, 40(1): 27-36. HUA Xiaohui, CHEN Li, ZHANG Shuibin. Finite Vertex Primitive 2-arc Transitive Graphs Admitting a Two-dimensional Linear Group. Acta Mathematicae Applicatae Sinica, 2017, 40(1): 27-36.
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