Combinatorial theory of semigroup actions

组合半群理论研究半群的生成元和定义关系。圣安德鲁斯是这一领域最近发展的主要中心之一，特别是在处理子半群、构造和计算方面。半群作用通过集合上的变换来处理半群的表示。半群作用可以被视为（一元）代数对象在自己的权利，所以一般概念的生成集，表示等适用。在这个项目中，克雷格将寻求建立一个系统的理论基础，调查与（和差异）组合半群理论，并作为一个先进的目标，努力将两者联系起来。三门SMSTC课程大学导师培训课程和学校导师培训课程所有新博士生的大学入门课程每周（约）纯数学座谈会

Combinatorial semigroup theory deals with the questions of generators and defining relations for semigroups. St Andrews is one of the leading centres in the recent developments in this area, especially for the aspects dealing with subsemigroups, constructions and computation. Semigroup actions deal with representations of semigroups by transformations on sets. Semigroup actions can be treated as (unary) algebraic objects in their own right, and so the general notions of generating set, presentation, etc. apply. In this project Craig will seek to establish a systematic theory underlying this, investigate parallels with (and differences from) combinatorial semigroup theory, and, as an advanced aim, endeavour to relate the two. Three SMSTC coursesUniversity tutor training course & School tutor training courseUniversity induction for all new PhD studentsweekly(approx) Pure maths Colloquia