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On Properties Possessed by Solvable and Nilpotent Groups

On Properties Possessed by Solvable and Nilpotent Groups

The object of this note is to study two properties of groups, which we will denote by (*) and (**). The property (*) is possessed by solvable groups (and in fact, by groups which have a solvable invariant system) and the property (**) is possessed by nilpotent groups (and in …