Tag Archives: Sylow’s theorem

A crash course on group theory

I have just finished a crash course on group theory at Universidade de Lisboa. The notes are here. From the preface: On a visit to Universidade de Lisboa in November 2016, I was asked to give a “crash course” in … Continue reading

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Notes on finite groups

As an escape from having too much to do, I have combined and lightly revised the notes from my MSc course on finite groups, and posted them here. I tried to steer a middle course between soluble groups and simple … 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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