Collected Works

Hall was Sadleirian Professor of Mathematics at the University of Cambridge from 1953 to 1967. He was a distinguished mathematician and algebraist. These papers on soluble groups, up to and including the Hall-Higman paper and the one on theorems like Sylow's, are important to the development of finite group theory. His work on infinite groups, beginning with his 1953 paper on finitely generated soluble groups opened up many new areas of research. The work also includes the Queen Mary College Mathematics Notes volume, which is the closest Hall ever came to producing a text book. and is an introduction to nilpotent groups.Table of ContentObituary by J.E. Roseblade; Multiple and partial correlation coefficients in the case of an n-fold variate system; The distribution of means for samples of size N drawn from a population in which the variate takes values between 0 and 1, all such values being equally probable; A note on soluble groups; A contribution to the theory of groups of prime-power order; On a theorem of Frobenius; On representatives of subsets; (With Garrett Birkhoff) On the order of groups of automorphisms; The Eulerian functions of a group; A characteristic property of soluble groups; Complemented groups; On the Sylow systems of a soluble group; On the system normalizers of a soluble group; A partition formula connected with Abelian groups; On groups of automorphisms; The classification of prime-power groups; The construction of soluble groups; Verbal and marginal subgroups; What modern algebra is about; [Review of] Elements de mathematiques by N. Bourbaki; Finiteness conditions for soluble group