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A Problem in Group Theory Solved by Computer Algebra

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Commutative Algebra, Singularities and Computer Algebra

Part of the book series: NATO Science Series ((NAII,volume 115))

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Abstract

 It is briefly explained how to characterize the class of finite solvable groups by 2-variable identities, a result obtained by T. Bandman, G.-M. Greuel, R Grunewald, B. Kunyavski, E.Plotkin, and the author. The description uses algebraic gemetry (the Hasse-Weil Theorem) and computer algebra (Groebner basis)

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References

  1. Y. Aubry, M. Perret A Weil theorem for singular curves. Arithmetic, Geometry and Coding Theory. Eds.: R. Pellikaan, M. Perret and S.G. Vladut, Walter de Gruyter, Berlin-New York, (1996), 1–7.

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Author information

Authors and Affiliations

  1. Fachbereich Mathematik, Universität Kaiserslautern, 67653, Kaiserslautern, Germany

    Gerhard Pfister

Authors
  1. Gerhard Pfister
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Editor information

Editors and Affiliations

  1. Fachbereich Mathematik und Informatik, Universität Essen, Essen, Germany

    Jürgen Herzog

  2. Faculty of Mathematics and Informatics, University of Bucharest, Bucharest, Romania

    Victor Vuletescu

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© 2003 Springer Science+Business Media Dordrecht

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Pfister, G. (2003). A Problem in Group Theory Solved by Computer Algebra. In: Herzog, J., Vuletescu, V. (eds) Commutative Algebra, Singularities and Computer Algebra. NATO Science Series, vol 115. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1092-4_13

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  • DOI: https://doi.org/10.1007/978-94-007-1092-4_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-1487-1

  • Online ISBN: 978-94-007-1092-4

  • eBook Packages: Springer Book Archive

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