Abstract
In this paper we prove several results about the lattice of imprimitivity systems of a permutation group containing a cyclic subgroup with at most two orbits. As an application we generalize the first Ritt theorem about functional decompositions of polynomials, and some other related results. Besides, we discuss examples of rational functions, related to finite subgroups of Aut( 1), for which the first Ritt theorem fails to be true.
Original language | English |
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Pages (from-to) | 1-24 |
Number of pages | 24 |
Journal | Proceedings of the London Mathematical Society |
Volume | 102 |
Issue number | 1 |
DOIs | |
State | Published - 1 Jan 2011 |
ASJC Scopus subject areas
- General Mathematics