The Collected Works of Philip HallAs one of the world's most influential algebraists, Philip Hall is renowned for groundbreaking work in his field. The papers in this collection of his works are models of lucidity that offer relevant information for today's mathematicians and group theorists. The sequence of papers on soluble groups, up to and including his Hall-Higman paper and one on "Theorems Like Sylow's", are of fundamental importance to the development of finite group theory. Also included is Hall's Queen Mary College Mathematics Notes volume, which remains an excellent introduction to nilpotent groups. |
Contents
Bull London Math Soc 16 1984 603626 | 3 |
Nilpotent groups Lectures given at the Canadian Mathematical 415 | 25 |
1927 100109 | 29 |
Copyright | |
24 other sections not shown
Common terms and phrases
Abelian group algebra belongs Burnside characteristic subgroup chief factors commutator subgroup complemented conjugate corollary corresponding coset cyclic group defined denote derived group direct product elements of G equal equation factor groups factor of G Fermat prime finite group finite order follows free group G satisfies G₁ given group G group of automorphisms group of order H₁ H₂ Hall Hence homomorphism hypothesis induction inner automorphisms integer invariant isoclinic isomorphic K₁ L₁ Lemma Let G lower central series M₁ nilpotent group normal subgroup normalizer of G number of solutions obtain order of G p-group p-soluble P₁ permutable polycyclic groups prime-power groups proof proper subgroup prove quotient group R₁ result S-subgroup satisfies Max-n self-conjugate subgroup series of G soluble group stem groups subgroup H subgroup of G subgroups of order suppose Sylow subgroups Sylow system system normalizer Theorem theory U₁ Z₁