On the Image Conjecture

Authors

Arno van den Essen, Radboud University
David Wright, Washington University in St Louis
Wenhua Zhao, Illinois State University

Author's Department

Mathematics

Document Type

Article

Publication Date

2011

Abstract

The Image Conjecture was formulated by the third author, who showed that it implied his Vanishing Conjecture, which is equivalent to the famous Jacobian Conjecture. We prove various cases of the Image Conjecture and show that how it leads to another fascinating and elusive assertion that we here dub the Factorial Conjecture. Various cases of the Factorial Conjecture are proved.

Comments

Preprint of article which has been published in final form in Journal of Algebra, 340 (2011), 211-224. DOI. Copyright © 2011 Elsevier Inc.

Recommended Citation

van den Essen, Arno; Wright, David; and Zhao, Wenhua, "On the Image Conjecture" (2011). Mathematics Faculty Publications. 2.
https://openscholarship.wustl.edu/math_facpubs/2

Embargo Period

5-15-2012