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Soluble Artinian Groups

Published online by Cambridge University Press:  20 November 2018

Reinhold Baer
Reinhold Baer*
Affiliation:
6243 Falkenstein im Taunus, Gartenstr. 11, Germany
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The principal aim of this note is the proof of the following:

Main Theorem. The following properties of the group G are equivalent:

I. G is artinian and soluble.

II. (a) To every maximal subgroup S of G there exists a normal subgroup T of G with G = ST and S ∩ T = (S ∩ T)T.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 19 , 1967 , pp. 904 - 923
Copyright
Copyright © Canadian Mathematical Society 1967

References

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