Combinatorial theory of semigroup actions
Lead Research Organisation:
University of St Andrews
Department Name: Mathematics and Statistics
Abstract
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 courses
University tutor training course & School tutor training course
University induction for all new PhD students
weekly(approx) Pure maths Colloquia
Three SMSTC courses
University tutor training course & School tutor training course
University induction for all new PhD students
weekly(approx) Pure maths Colloquia
Organisations
People |
ORCID iD |
Nik Ruskuc (Primary Supervisor) | |
Craig Miller (Student) |
Publications
Miller C
(2018)
Generators and presentations for direct and wreath products of monoid acts
in Semigroup Forum
Miller C
(2019)
An introduction to presentations of monoid acts: quotients and subacts
in Communications in Algebra
Miller C
(2019)
Right noetherian semigroups
in International Journal of Algebra and Computation
Studentship Projects
Project Reference | Relationship | Related To | Start | End | Student Name |
---|---|---|---|---|---|
EP/N509759/1 | 30/09/2016 | 29/09/2021 | |||
1795681 | Studentship | EP/N509759/1 | 30/09/2016 | 30/03/2020 | Craig Miller |