Finite Group Theory

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.