English

A complete presentation of $(\mathbb{C}\mbox{[X]},\circ)$

Group Theory 2024-10-17 v1

Abstract

We recall the fundamental theorem of J.F. Ritt, with a stress on the action of the affine group and canonical forms of complex polynomials. Then we give a complete presentation of the monoid (C\mbox[X],)(\mathbb{C}\mbox{[X]},\circ). A list of decomposable polynomials is given in degrees 12\leq 12.

Keywords

Cite

@article{arxiv.2410.12447,
  title  = {A complete presentation of $(\mathbb{C}\mbox{[X]},\circ)$},
  author = {Barbu Rudolf Berceanu},
  journal= {arXiv preprint arXiv:2410.12447},
  year   = {2024}
}
R2 v1 2026-06-28T19:24:02.255Z