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

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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.",

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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

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VL - 399

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EP - 633

JO - Journal of Algebra

JF - Journal of Algebra

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