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.
Publié le : 2003-09-14
Classification:
solvable groups,
Engel identity,
rational points on curves,
computer algebra,
SINGULAR,
11,
13,
14,
20
@article{1063050161,
author = {Greuel, Gert-Martin},
title = {A Computer Algebra Solution to a Problem in Finite Groups},
journal = {Rev. Mat. Iberoamericana},
volume = {19},
number = {2},
year = {2003},
pages = { 413-424},
language = {en},
url = {http://dml.mathdoc.fr/item/1063050161}
}
Greuel, Gert-Martin. A Computer Algebra Solution to a Problem in Finite Groups. Rev. Mat. Iberoamericana, Tome 19 (2003) no. 2, pp. 413-424. http://gdmltest.u-ga.fr/item/1063050161/