Rational preperiodic points of cubic post-critically finite polynomials

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Uyar, Murat (2021) Rational preperiodic points of cubic post-critically finite polynomials. [Thesis]

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Abstract

All cubic post-critically nite polynomials de ned over Q are classi ed up to Q-conjugacy, [3]. There are 15 such classes. For each representative of these classes we nd all rational preperiodic points by using an algorithm of B. Hutz [8]. We nd that the number of rational preperiodic points of a cubic post-critically nite polynomial de ned over Q cannot exceed 6.
Item Type: Thesis
Uncontrolled Keywords: periodic points. -- preperiodic points. -- orbit. -- critical points. -- post-critically nite polynomials. -- periyodik noktalar. -- preperiyodik noktalar, yörünge, kritik noktalar, kritik-ötesi sonlu polinomlar.
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: IC-Cataloging
Date Deposited: 12 Nov 2021 10:34
Last Modified: 26 Apr 2022 10:39
URI: https://research.sabanciuniv.edu/id/eprint/42534

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