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科学研究
RESEARCH
Latin cubes
时间  Datetime
2020-12-02 17:00 — 18:00
地点  Venue
Zoom APP(2)()
报告人  Speaker
Rosemary Bailey
单位  Affiliation
University of St Andrews
邀请人  Host
吴耀琨
备注  remarks
ZoomID: 993 826 38268; PW: 897488
报告摘要  Abstract

The Latin square of order n is a familiar combinatorial object. It can be regarded as the Cayley table of a group (which is unique up to group isomorphism) if and only if it satisfies a combinatorial condition called the quadrangle criterion.


Alternatively, we can consider a Latin square to be a set of three partitions of the set of n2 cells: the parts are rows, columns and letters respectively. Any two of these partitions, together with the two trivial partitions, give a Cartesian lattice of dimension two, which is sometimes called a grid.


In this talk I will generalize these ideas to Latin cubes. These have many different definitions. For the type that I will consider, I will show that a simple combinatorial condition forces the relevant partitions to be defined by the diagonal subgroup of a group, which is again unique up to isomorphism.


http://math.sjtu.edu.cn/conference/Bannai/2019/talk.php?20201202A