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On A-groups

Published online by Cambridge University Press:  24 October 2008

D. R. Taunt
D. R. Taunt
Affiliation:
Jesus CollegeCambridge
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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
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 45 , Issue 1 , January 1949 , pp. 24 - 42
Copyright
Copyright © Cambridge Philosophical Society 1949

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References

REFERENCES

(1)Hall, P.A note on soluble groups. J. London Math. Soc. 3 (1928), 98–105.CrossRefGoogle Scholar
(2)Hall, P.A characteristic property of soluble groups. J. London Math. Soc. 12 (1937), 198–200.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), 77–141.Google Scholar