The Dixmier Conjecture and the shape of possible counterexamples

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• 作者：Jorge A. Guccione ; Juan J. Guccione ; Christian Valqui
• 关键词：primary ; 16S32 ; secondary ; 16W20
• 刊名：Journal of Algebra
• 出版年：1 February, 2014
• 年：2014
• 卷：399
• 期：Complete
• 页码：581-633
• 全文大小：746 K

文摘

We establish a lower bound for the size of possible counterexamples of the Dixmier Conjecture. We prove that , where B is the minimum of the greatest common divisor of the total degrees of P and Q, where runs over the counterexamples of the Dixmier Conjecture.