Triangularization properties of power linear maps and the Structural Conjecture
Annales Polonici Mathematici, Tome 112 (2014) no. 3, pp. 247-266.

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We discuss several additional properties a power linear Keller map may have. The Structural Conjecture of Drużkowski (1983) asserts that certain two such properties are equivalent, but we show that one of them is stronger than the other. We even show that the property of linear triangularizability is strictly in between. Furthermore, we give some positive results for small dimensions and small Jacobian ranks.
DOI : 10.4064/ap112-3-4
Keywords: discuss several additional properties power linear keller map may have structural conjecture dru kowski asserts certain properties equivalent stronger other even property linear triangularizability strictly between furthermore positive results small dimensions small jacobian ranks

Michiel de Bondt 1 ; Dan Yan 2

1 Department of Mathematics Radboud University Nijmegen, The Netherlands
2 School of Mathematical Sciences Graduate University of Chinese Academy of Sciences Beijing 100049, China
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Michiel de Bondt; Dan Yan. Triangularization properties of power linear maps and the Structural Conjecture. Annales Polonici Mathematici, Tome 112 (2014) no. 3, pp. 247-266. doi : 10.4064/ap112-3-4. http://geodesic.mathdoc.fr/articles/10.4064/ap112-3-4/

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