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Tag Archives: permutation groups
More on the 3p paper
I wrote here about Peter Neumann’s paper on primitive permutation groups of degree 3p, where p is a prime number. Well, summer is almost over, but my undergraduate research intern Marina AnagnostopoulouMerkouri and I have done our work and produced … Continue reading
Peter Neumann’s 3p paper
In 1955, Helmut Wielandt published a paper proving the following theorem: Let G be a primitive permutation group of degree 2p, where p is a prime greater than 3, which is not doubly transitive. Then p = 2a2+2a+1 for some positive integer … Continue reading
Fair games and Artin’s conjecture
A few years ago I described Persi Diaconis’ response to G. H. Hardy’s claim that there is a real dividing line between real and recreational mathematics. (See the report here.) This led from Persi’s first experiments in card shuffling to Artin’s conjecture … Continue reading
Books
I realised yesterday that, although I had moved the web pages of books I had written to my St Andrews website when I came here, I had neither updated them nor put links to them. I have done the easier … Continue reading
Posted in books, the Web
Tagged algebra, combinatorics, logic, permutation groups, set theory
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Dugald Macpherson’s birthday meeting
Still catching up on the backlog: last week I was in Edinburgh for a meeting at ICMS for Dugald Macpherson’s birthday. The ICMS has just moved to new premises at the top of the University of Edinburgh’s new Bayes Centre, … Continue reading
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 kuniversal transversal property (kut for short) if, given … Continue reading
Posted in exposition
Tagged partitions, permutation groups, regular semigroups, transversals
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From permutation groups to model theory
I cannot resist a conference with a title like this! But in this case, there is another very important reason to attend. In the mid1970s, when I began being interested in infinite permutation groups (I had been a strictly finite … Continue reading
Posted in events, history
Tagged Dugald Macpherson, ICMS, model theory, permutation groups
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Symmetry vs Regularity
This is the title of a conference to be held next year (2018) from 1 to 7 July, in Pilsen, Bohemia, Czech Republic. The subtitle is “The first 50 years since WeisfeilerLeman stabilization”, and the webpage is here. If you … Continue reading
Summer school at Marienheide
Last week, I was lecturing at a summer school in Franz Dohrmann Haus, a very pleasant conference centre in the small town of Marienheide, not far from Köln. Apart from a walk on Wednesday afternoon, I didn’t get much exercise, … Continue reading
Posted in events
Tagged Cheryl Praeger, Csaba Schneider, O'NanScott theorem, Pablo Spiga, permutation groups
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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