Author Archives: Peter Cameron

About Peter Cameron

I count all the things that need to be counted.

9,21,27,45,81,153,…

This is the sequence of degrees of primitive groups which don’t synchronize a map of rank 3, equivalently graphs with clique number and chromatic number 3 having primitive automorphism groups. You could argue that the sequence should start with 3, … Continue reading

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Butterflies

I am in Lisbon working with João Araújo and Wolfram Bentz on synchronization. We say that a permutation group G on the set {1,…n} synchronizes a non-permutation f from this set to itself if the semigroup generated by G and … Continue reading

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10th birthday of MSG

Another event last week was the 10th anniversary talk in the Mathematics Study Group at South Bank University. This group was set up by Carrie Rutherford, whose photo is below (as well as a mathematician at South Bank, she is … Continue reading

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Queen Mary MathSoc

In my long association with Queen Mary, one constant has been the variability of the Queen Mary Mathematics Society. As with many student societies, it takes an enthusiastic student or two to breathe life into it, and when these people … Continue reading

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The Infinite Quest

In late May, I was in Hay-on-Wye at the How the Light Gets In festival. I talked about humanity’s engagement with infinity over the last few millennia, from Malunkyaputta’s questions to the Buddha and Aristotle’s disavowal of a completed infinity … Continue reading

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Regular polytopes, 3

In the last two posts on regular polytopes, I gave away something about my method of working. Although I have known about regular polytopes for a long time, I have never attempted to do research on them before. I find … Continue reading

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An excursion

Last weekend, as I mentioned, we took a long weekend and did some travelling, at the kind invitation of Hans Hockey. On Saturday morning we took the bus to Hamilton. Hans met us at the bus station, drove us round … Continue reading

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