# Revista Matemática Iberoamericana

Full-Text PDF (133 KB) | Metadata | Table of Contents | RMI summary

**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