Two-variable identities for finite solvable groups |
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Authors: | Tatiana Bandman Gert-Martin Greuel Fritz Grunewald Boris Kunyavskiı̆ Gerhard Pfister Eugene Plotkin |
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Institution: | 1. Department of Mathematics and Statistics, Bar-Ilan University, 52900 Ramat Gan, Israel;2. Fachbereich Mathematik, Universität Kaiserslautern, 67653 Kaiserslautern, Germany;3. Mathematisches Institut, Heinrich Heine Universität, 40225 Düsseldorf, Germany |
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Abstract: | We characterise the solvable groups in the class of finite groups by an inductively defined sequence of two-variable identities. Our main theorem is the analogue of a classical theorem of Zorn which gives a characterisation of the nilpotent groups in the class of finite groups by a sequence of two-variable identities. To cite this article: T. Bandman et al., C. R. Acad. Sci. Paris, Ser. I 337 (2003). |
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