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Soluble Artinian Groups
Published online by Cambridge University Press: 20 November 2018
Extract
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.
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- Copyright © Canadian Mathematical Society 1967
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