# A computer algebra solution to a problem in finite groups.

Revista Matemática Iberoamericana (2003)

- Volume: 19, Issue: 2, page 413-424
- ISSN: 0213-2230

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topGreuel, Gert-Martin. "A computer algebra solution to a problem in finite groups.." Revista Matemática Iberoamericana 19.2 (2003): 413-424. <http://eudml.org/doc/39610>.

@article{Greuel2003,

abstract = {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.},

author = {Greuel, Gert-Martin},

journal = {Revista Matemática Iberoamericana},

keywords = {Teoría de grupos; Grupos resolubles finitos; Teoría de números; Geometría algebraica; Singularidades; finite varieties; soluble groups; laws; identities; Hasse-Weil bounds; Gröbner bases; algebraic varieties; rational points},

language = {eng},

number = {2},

pages = {413-424},

title = {A computer algebra solution to a problem in finite groups.},

url = {http://eudml.org/doc/39610},

volume = {19},

year = {2003},

}

TY - JOUR

AU - Greuel, Gert-Martin

TI - A computer algebra solution to a problem in finite groups.

JO - Revista Matemática Iberoamericana

PY - 2003

VL - 19

IS - 2

SP - 413

EP - 424

AB - 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.

LA - eng

KW - Teoría de grupos; Grupos resolubles finitos; Teoría de números; Geometría algebraica; Singularidades; finite varieties; soluble groups; laws; identities; Hasse-Weil bounds; Gröbner bases; algebraic varieties; rational points

UR - http://eudml.org/doc/39610

ER -

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