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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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
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