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September, 2003 A Computer Algebra Solution to a Problem in Finite Groups
Gert-Martin Greuel
Rev. Mat. Iberoamericana 19(2): 413-424 (September, 2003).


We report on a partial solution of the conjecture that the class of finite solvable groups can be characterised by 2-variable identities. The proof requires pieces from number theory, algebraic geometry, singularity theory and computer algebra. The computations were carried out using the computer algebra system SINGULAR.


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Gert-Martin Greuel. "A Computer Algebra Solution to a Problem in Finite Groups." Rev. Mat. Iberoamericana 19 (2) 413 - 424, September, 2003.


Published: September, 2003
First available in Project Euclid: 8 September 2003

zbMATH: 1071.20025
MathSciNet: MR2023193

Primary: 11 , 13 , 14 , 20

Keywords: computer algebra , Engel identity , rational points on curves , singular , solvable groups

Rights: Copyright © 2003 Departamento de Matemáticas, Universidad Autónoma de Madrid

Vol.19 • No. 2 • September, 2003
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