MATH 429 Finite Group Theory
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Group actions, p-groups, Sylow theorems, the Frattini argument, characterizations of nilpotent groups, the Fitting subgroup, the Chermak–Delgado measure, subnormality, Brodkey's theorem, split extensions, the Schur–Zassenhaus theorem, Hall theorems, Carter subgroups, coprime actions, Glauberman's lemma, commutator identities, nilpotence classes, Thompson's P × Q lemma, Baer's trick, transfer homomorphisms, focal subgroups, Frobenius p-nilpotency theorems, the Burnside fusion theorem, resistant p-groups, Frobenius groups, and fixed-point-free automorphisms.
Credit units: 3 ECTS Credit units: 5, Prerequisite:
MATH 323.
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