Characterization of Solvable Groups and Solvable radical

نویسندگان

Fritz Grunewald

Boris Kunyavskii

Eugene Plotkin

چکیده

We give a survey of new characterizations of finite solvable groups and the solvable radical of an arbitrary finite group which were obtained over the past decade. We also discuss generalizations of these results to some classes of infinite groups and their analogues for Lie algebras. Some open problems are discussed as well.

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