Tag Archives: regular semigroups

The existential transversal property

One of the first things that João Araújo introduced me to when we started collaborating, after synchronization, was the universal transversal property: a permutation group G on the set {1,…,n} has the k-universal transversal property (k-ut for short) if, given … Continue reading

Posted in exposition | Tagged , , , | Leave a comment

A week in Vienna

Last week, in the second week of Spring break in St Andrews, I was in Vienna, giving a course of lectures to the PhD students, at the invitation of Tomack Gilmore, a Queen Mary undergraduate now finishing his PhD with … Continue reading

Posted in events, Lecture notes, Uncategorized | Tagged , , , , , , , , | 4 Comments

A visit to Lisbon

Back in London after three weeks in Lisboa. It wasn’t meant to be my research visit; I tagged along with the intention of having a holiday. But it didn’t work out like that. We lived in student accommodation at the … Continue reading

Posted in doing mathematics, exposition, synchronization | Tagged , , , | 2 Comments

Permutation groups and regular semigroups, 2

João Araújo and I have been working together this week, and the paper, which I discussed here, is nearly ready to submit, after we managed a couple of quite significant improvements. I’d like to draw attention to a couple of … Continue reading

Posted in mathematics, open problems | Tagged , , , , , | 7 Comments

Permutation groups and regular semigroups

This week, I gave a talk in the Pure Mathematics seminar explaining what João Araújo and I have been up to this summer. I will try to summarise here. João believes that semigroup theorists have shied away from studying the … Continue reading

Posted in exposition, mathematics | Tagged , | 5 Comments