The Dixmier conjecture and the shape of possible counterexamples
Rings and Algebras
2013-10-31 v3
Abstract
We establish a lower bound for the size of possible counterexamples of the Dixmier Conjecture. We prove that , where is the minimum of the greatest common divisor of the total degrees of and , where runs over the counterexamples of the Dixmier Conjecture.
Cite
@article{arxiv.1111.6100,
title = {The Dixmier conjecture and the shape of possible counterexamples},
author = {Jorge A. Guccione and Juan J. Guccione and Christian Valqui},
journal= {arXiv preprint arXiv:1111.6100},
year = {2013}
}
Comments
43 pages; 6 figures; this a resume version made out of the previous version and "The Dixmier conjecture and the shape of possible counterexamples II"