Tag Archives: Cayley’s theorem

LTCC course finished

Yesterday was the last day of my LTCC course on Enumerative Combinatorics. Thanks to the students who stuck it out to the end. I produced notes week by week and now you can find the complete notes on this site. … Continue reading

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Homogeneous Cayley objects, 1

I have a few things to say about this topic. Mainly these are open problems. I plan to start with an introduction, and then talk about the random graph, the Henson graphs, and n-tuples of total orders, and the problems … Continue reading

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The symmetric group, 10

I want to say a few words about the connection of the symmetric group with some of the classic nineteenth-century theorems of group theory, by Lagrange, Cayley and Sylow. Lagrange Lagrange’s Theorem states that the order of a subgroup of … Continue reading

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