Philip Hall Lecture notes

Philip Hall Lecture Notes on Group Theory – Part I

§1 The laws of group theory. The symmetric groups (pp. 1-5

Philip Hall Lecture Notes on Group Theory – Part II

§2 Subgroups, Cosets and Indices, Quotient Groups. (pp. 6-12)

Philip Hall Lecture Notes on Group Theory – Part III

§3 Isomorphic Groups and Homomorphic Mappings. (pp. 13-19)

Philip Hall Lecture Notes on Group Theory – Part IV

§4 Automorphisms, Representations, Conjugates (pp. 20-29)

Philip Hall Lecture Notes on Group Theory – Part V

§5 p-groups. Sylow subgroups. (pp. 30-36)

Philip Hall Lecture Notes on Group Theory – Part VI

§6 Consequences of Sylow's Theorem. Pronormal Subgroups. Nilpotent Groups. (pp. 37-43)

 

Philip Hall Lecture Notes on Group Theory – Part VII

§7 Upper or Lower Central Series (pp. 44-54)

Philip Hall Lecture Notes on Group Theory – Part VIII

§8 Direct Products, Central Products, Residual Products; Abelian groups, Semisimple groups, Wedderburn components of irreducible groups (pp. 55-69)

Philip Hall Lecture Notes on Group Theory – Part IX

§9 Frattini subroups. Split extensions. Soluble groups. S-subgroups (pp. 70-80)

 

Philip Hall Lecture Notes on Group Theory – Part X

§10 Systemized and Carter Subgroups of Soluble Groups (pp. 81-89bis)

Philip Hall Lecture Notes on Group Theory – Part XI

§11 Subnormal Subgroups (Wieland) (pp. 90-96)

Philip Hall Lecture Notes on Group Theory – Part XII

§12 Wreath Products, Burnside's Transfer Theorem, Z-groups, A-groups, Supersoluble (pp. 97-106)

Philip Hall Lecture Notes on Group Theory – Part XIII

§13 p'-Automorphisms of p-groups (pp. 107-116)

Philip Hall Lecture Notes on Group Theory – Part XIVa

§14a Some Special p-Groups (pp. 117-122)

Philip Hall Lecture Notes on Group Theory – Part XIVb

§14b Some Special p-Groups (pp. 123-130)

Philip Hall Lecture Notes on Group Theory – Part XV

§15 Closure Properties of Classes of Groups. Groups of p-length 1 (pp. 150-160)

Philip Hall Lecture notes