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Mathematical Proceedings of the Cambridge Philosophical Society | 1956

On finite groups of exponent five

Graham Higman; P. Hall

1. The object of this note is to prove the restricted Burnside conjecture for exponent 5, that is, to prove, for n = 5, the proposition: R n : For each positive integer k there is an integer r n, k such that every finite group of exponent n that can be generated by k elements has order at most r n, k .


Proceedings of The London Mathematical Society | 1956

On the p-Length of p-Soluble Groups and Reduction Theorems for Burnside's Problem

P. Hall; Graham Higman


Proceedings of The London Mathematical Society | 1954

Finiteness Conditions for Soluble Groups

P. Hall


Proceedings of The London Mathematical Society | 1959

On the Finiteness of Certain Soluble Groups

P. Hall


Crelle's Journal | 1940

The classification of prime-power groups.

P. Hall


Proceedings of The London Mathematical Society | 1956

Theorems Like Sylow's

P. Hall


Journal of The London Mathematical Society-second Series | 1937

A Characteristic Property of Soluble Groups

P. Hall


Journal of The London Mathematical Society-second Series | 1928

A Note on Soluble Groups

P. Hall


Proceedings of The London Mathematical Society | 1961

The Frattini Subgroups of Finitely Generated Groups

P. Hall


Mathematical Proceedings of the Cambridge Philosophical Society | 1956

On a conjecture of Nagata

Graham Higman; P. Hall

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