English

On Ritt's decomposition Theorem in the case of finite fields

Symbolic Computation 2008-04-10 v2 Commutative Algebra

Abstract

A classical theorem by Ritt states that all the complete decomposition chains of a univariate polynomial satisfying a certain tameness condition have the same length. In this paper we present our conclusions about the generalization of these theorem in the case of finite coefficient fields when the tameness condition is dropped.

Cite

@article{arxiv.0803.3976,
  title  = {On Ritt's decomposition Theorem in the case of finite fields},
  author = {Jaime Gutierrez and David Sevilla},
  journal= {arXiv preprint arXiv:0803.3976},
  year   = {2008}
}

Comments

13 pages. v2: added comment from reader and additional references