The Dixmier Conjecture and the shape of possible counterexamples

Jorge A. Guccione; Juan J. Guccione; Christian Valqui

The Dixmier Conjecture and the shape of possible counterexamples

Jorge A. Guccione, Juan J. Guccione, Christian Valqui

Sección de Matemáticas

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

5 Citas (Scopus)

Resumen

We establish a lower bound for the size of possible counterexamples of the Dixmier Conjecture. We prove that B>. 15, where B is the minimum of the greatest common divisor of the total degrees of P and Q, where (P, Q) runs over the counterexamples of the Dixmier Conjecture. © 2013 Elsevier Inc.

Idioma original	Español
Páginas (desde-hasta)	581-633
Número de páginas	53
Publicación	Journal of Algebra
Volumen	399
Estado	Publicada - 1 feb. 2014

Citar esto

@article{cbd16776bf4948b59bdf0209ed57285b,

title = "The Dixmier Conjecture and the shape of possible counterexamples",

abstract = "We establish a lower bound for the size of possible counterexamples of the Dixmier Conjecture. We prove that B>. 15, where B is the minimum of the greatest common divisor of the total degrees of P and Q, where (P, Q) runs over the counterexamples of the Dixmier Conjecture. {\textcopyright} 2013 Elsevier Inc.",

author = "Guccione, {Jorge A.} and Guccione, {Juan J.} and Christian Valqui",

year = "2014",

month = feb,

day = "1",

language = "Espa{\~n}ol",

volume = "399",

pages = "581--633",

journal = "Journal of Algebra",

issn = "0021-8693",

}

TY - JOUR

T1 - The Dixmier Conjecture and the shape of possible counterexamples

AU - Guccione, Jorge A.

AU - Guccione, Juan J.

AU - Valqui, Christian

PY - 2014/2/1

Y1 - 2014/2/1

N2 - We establish a lower bound for the size of possible counterexamples of the Dixmier Conjecture. We prove that B>. 15, where B is the minimum of the greatest common divisor of the total degrees of P and Q, where (P, Q) runs over the counterexamples of the Dixmier Conjecture. © 2013 Elsevier Inc.

AB - We establish a lower bound for the size of possible counterexamples of the Dixmier Conjecture. We prove that B>. 15, where B is the minimum of the greatest common divisor of the total degrees of P and Q, where (P, Q) runs over the counterexamples of the Dixmier Conjecture. © 2013 Elsevier Inc.

M3 - Artículo

SN - 0021-8693

VL - 399

SP - 581

EP - 633

JO - Journal of Algebra

JF - Journal of Algebra

ER -