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

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

2008-03-27

arxiv.org/abs/0803.3976v2

Finite Fields Appl. 12 (2006), no. 3, 403--412. MR2229324 (2007a:13024)

Computer Science

Symbolic Computation

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

Scientific paper

10.1016/j.ffa.2005.08.004

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.

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