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Point-primitive linear spaces
发布时间:2020-11-18 10:46 来源:学校主页2017 点击率:

主讲人:关海艳

主办单位:数学与大数据学院

讲座时间:2020年12月8日上午9:00-10:00

讲座形式:Zoom 会议室,********

 

内容简介:

A finite linear space S is an incident structure (P, L),  where P is a set of v points and L is a set of b distinguished subsets of P called lines,  such that any two points are incident with exactly one line. The linear space is said to be non-trivial if every line is incident with at least three points and there are at least two lines. If the sizes of all lines are equal, then we say that S is a regular linear space. An automorphism of S is a permutation  of P which leaves L invariant. The full automorphism group of S is denoted by Aut(S) and any subgroup of Aut(S) is called an automorphism group of S. If an automorphism group G of S acts primitively on the set of points (resp. lines), then we say that G is point-primitive (resp.  line-primitive).  In this talk, I will introduce some classification results of finite regular linear spaces admitting point-primitive automorphism groups, especially the case when v=pq and 2pq, here p and q are primes.


讲座人简介:

关海艳,讲师。2009年6月毕业于湖北民族学院数学系,获理学学士学位,2014年7月毕业于华南理工大学,获理学博士学位(硕博连读),随后进入三峡大学数学系任教,主要从事群与组合设计理论的研究。