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

Universidad de Buenos Aires
Instituto de Investigaciones Matematicas Luis A. Santalo (IMAS)
Instituto Argentino de Matematica

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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. © 2013 Elsevier Inc.

Original language	Spanish
Pages (from-to)	581-633
Number of pages	53
Journal	Journal of Algebra
Volume	399
State	Published - 1 Feb 2014

Cite this

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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.",

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AU - Guccione, Juan J.

AU - Valqui, Christian

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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

SN - 0021-8693

VL - 399

SP - 581

EP - 633

JO - Journal of Algebra

JF - Journal of Algebra

ER -