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Tag Archives: JordanHolder 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
Posted in Lecture notes
Tagged Classification of Finite Simple Groups, finite groups, firstorder logic, groups of prime power order, infinite groups, JordanHolder Theorem, locally finite groups, oligomorphic permutation groups, periodic groups, profinite groups, residually finite groups, Sylow's theorem, topology
1 Comment
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
Posted in exposition
Tagged composition series, extension theory, group action, JordanHolder Theorem, simple groups, Sylow's theorem
2 Comments