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Finite polynomial orbits in quadratic rings |
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| Authors: | Roman Marszałek Władyslaw Narkiewicz |
| Affiliation: | (1) Institute of Mathematics, Wrocław University, Plac Grunwaldzki 2–4, PL-50-384 Wrocław, Poland |
| Abstract: | All finite orbits of polynomial mappings in one variable in rings of integers of quadratic number fields are determined. The largest such orbit has seven elements and lies in the third cyclotomic field. 2000 Mathematics Subject Classification Primary—11R09, 11R11, 37F10 |
| Keywords: | Polynomial maps Polynomial cycles Finite polynomial orbits Quadratic integers |
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