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Finite groups in which any two subgroups of the same order are isomorphic

Published online by Cambridge University Press:  24 October 2008

Ruth Armstrong
Affiliation:
Girton CollegeCambridge

Extract

1. Introduction. The class of finite groups in which any two subgroups of the same order are isomorphic will be denoted by (C), and ‘G ∈ (C)’ will mean ‘G belongs to the class (C)’.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1958

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References

REFERENCES

(1)Burnside, W.The theory of groups of finite order, 2nd ed. (Cambridge, 1911).Google Scholar
(2)Hall, P.On the Sylow systems of a soluble group. Proc. Lond. Math. Soc. (2), 43 (1937), 316–23.Google Scholar
(3)Huppert, B.Normalteiler und maximale untergruppen endlicher Gruppen. Math. Z. 60 (1954), 409–34.CrossRefGoogle Scholar
(4)Zassenhaus, H.The theory of groups (New York, 1949).Google Scholar