報告題目: The structure of 3-pyramidal group

報告人:高小芳

報告時間: 2024年9月20日14:00-15:30

報告地點:數(shù)學與統(tǒng)計學院4樓會議室

專家簡介:

高小芳，女,，2020年畢業(yè)于湖北民族大學基礎數(shù)學專業(yè),，獲碩士學位,；2024年畢業(yè)于巴西利亞大學基礎數(shù)學專業(yè),，獲博士學位。主要研究有限群,，發(fā)表SCI論文2篇,，參與2項國家自然科學基金。

報告摘要:

A combinatorial block design D is called 3-pyramidal if there exists a subgroup G of Aut(D) fixing 3 points and acting regularly on the other points. If this happens, we say that the design is 3-pyramidal under G. If D is a Kirkman Triple System, it is known that such a group G has precisely 3 involutions, all conjugate to each other. In this talk, we will discuss the groups with this property.