Tag Archives: synchronization

Birthday conferences

Posted on 13/03/2023 by Peter Cameron

The impending removal of my university web pages has led me to put here the slides of some talks. I have been extremely fortunate in having wonderful colleagues who have organised three birthday conferences for me. (Well, one was actually … Continue reading →

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The Hall–Paige conjecture

Posted on 18/12/2018 by Peter Cameron

A Latin square of ordern is an n×n array of symbols from an alphabet of size n with the property that each symbol in the alphabet occurs once in each row or column. Two Latin squares L and M are … Continue reading →

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RA position in St Andrews

Posted on 16/05/2018 by Peter Cameron

We are looking for a postdoctoral research assistant on the project “Bi-synchronizing automata, outer automorphism groups of Higman–Thompson groups, and automorphisms of the shift”. The Principal Investigator is Collin Bleak; I am the co-I. The project involves an interesting mix … Continue reading →

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Synchronization and all that, 2

Posted on 10/10/2017 by Peter Cameron

The story I told in the last post is not over. The recent development is that we spotted a mistake in the paper. An easy mistake to make: we had simply used the symbol n in two different places with … Continue reading →

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Synchronization and separation in the Johnson schemes

Posted on 06/06/2017 by Peter Cameron

Today a paper by Mohammed Aljohani, John Bamberg and me went on the arXiv on this topic. Here is a brief summary of what it is about. Synchronization comes in several flavours, and the point of the paper is to … Continue reading →

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A week in Vienna

Posted on 26/03/2017 by Peter Cameron

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 →

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Automorphism groups of transformation semigroups

Posted on 18/01/2017 by Peter Cameron

I have been in the transformation semigroups game for nearly ten years now, but I still feel that I am finding my feet. Here is apparently a huge difference between permutation groups and transformation semigroups, one which is still not … Continue reading →

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The Higman–Thompson groups

Posted on 05/06/2016 by Peter Cameron

I celebrated the last day of spring last week with the appearance of two substantial papers on the arXiv: one with Maria Elisa Fernandes, Dimitri Leemans, and Mark Mixer, proving that the maximum rank of a regular polytope whose group … Continue reading →

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ACCMCC, Days 4 and 5

Posted on 12/12/2015 by Peter Cameron

Penny Haxell opened proceedings on Thursday with her astonishing work with Ron Aharoni. They give a sufficient condition for a tripartite 3-uniform hypergraph (one whose vertex set is partitioned into three parts so that each hyperedge contains one vertex from … Continue reading →

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Permutation groups and transformation semigroups

Posted on 31/07/2015 by Peter Cameron

When I first decided to apply to the LMS to run a Durham symposium on Permutation Groups and Transformation Semigroups, I had a fairly clear idea of what I wanted: topics (both finite and infinite) where the techniques and results … Continue reading →

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