Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-04T21:22:05.412Z Has data issue: false hasContentIssue false

On A-groups

Published online by Cambridge University Press:  24 October 2008

D. R. Taunt
Affiliation:
Jesus CollegeCambridge

Extract

A sequence of papers by P. Hall ((1)–(4)) on some fundamental properties of soluble groups was followed in 1940 by his account of a new construction theory for such groups (5). We shall have frequent occasion to refer to these papers, and we begin with a brief account of their contents.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1949

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Hall, P.A note on soluble groups. J. London Math. Soc. 3 (1928), 98105.CrossRefGoogle Scholar
(2)Hall, P.A characteristic property of soluble groups. J. London Math. Soc. 12 (1937), 198200.CrossRefGoogle Scholar
(3)Hall, P.On the Sylow systems of a soluble group. Proc. London Math. Soc. (2), 43 (1937), 316–23.Google Scholar
(4)Hall, P.On the system normalizers of a soluble group. Proc. London Math. Soc. (2), 43 (1937), 507–28.Google Scholar
(5)Hall, P.The construction of soluble groups. J. Math. 182 (1940), 206–14.Google Scholar
(6)Fitting, H.Beiträge zur Theorie der Gruppen endlicher Ordnung. Jber. dtsch. Math.-Verein. 48 (1938), 77141.Google Scholar