Revista Matemática Iberoamericana


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Volume 19, Issue 2, 2003, pp. 413–424
DOI: 10.4171/RMI/355

Published online: 2003-08-31

A Computer Algebra Solution to a Problem in Finite Groups

Gert-Martin Greuel[1]

(1) Universität Kaiserslautern, Germany

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.

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

Greuel Gert-Martin: A Computer Algebra Solution to a Problem in Finite Groups. Rev. Mat. Iberoam. 19 (2003), 413-424. doi: 10.4171/RMI/355