Polynomial cycles in finite extension fields

Franz Halter-Koch; Petra Konečná

Mathematica Slovaca (2002)

  • Volume: 52, Issue: 5, page 531-535
  • ISSN: 0139-9918

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Halter-Koch, Franz, and Konečná, Petra. "Polynomial cycles in finite extension fields." Mathematica Slovaca 52.5 (2002): 531-535. <http://eudml.org/doc/31715>.

@article{Halter2002,
author = {Halter-Koch, Franz, Konečná, Petra},
journal = {Mathematica Slovaca},
keywords = {polynomial cycle; finite field},
language = {eng},
number = {5},
pages = {531-535},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Polynomial cycles in finite extension fields},
url = {http://eudml.org/doc/31715},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Halter-Koch, Franz
AU - Konečná, Petra
TI - Polynomial cycles in finite extension fields
JO - Mathematica Slovaca
PY - 2002
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 52
IS - 5
SP - 531
EP - 535
LA - eng
KW - polynomial cycle; finite field
UR - http://eudml.org/doc/31715
ER -

References

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  1. DIVIŠOVÁ Z., On cycles of polynomials with integral rational coefficients, Math. Slovaca 52 (2002), 537-540. Zbl1028.11064MR1963444
  2. HALTER-KOCH F.-NARKIEWICZ W., Scarcity of finite polynomial orbits, Publ. Math. Debrecen 56 (2000), 405-414. Zbl0961.11005MR1765989
  3. KOSTRA J., On orbits in ambiguous ideals, Acta Acad. Paed. Agriensis, Sect. Math. 29 (2002) (To appear). Zbl1017.11012MR1956576
  4. LANG S., Algebra, Addison-Wesley, New York, 1993. (1993) Zbl0848.13001MR0197234
  5. LIDL R.-NIEDERREITER H., Finite Fields, Encyclopedia of Mathematics and its Applications 20, Cambridge University Press, Cambridge, 1997. (1997) MR1429394
  6. NARKIEWICZ W., Polynomial Mappings, Lecture Notes in Mathematics 1600, Springer, New York, 1995. (1995) Zbl0829.11002MR1367962
  7. NARKIEWICZ W., Arithmetics of dynamical systems: A survey, Tatra Mt. Math. Publ. 11 (1997), 69-75. (1997) Zbl0978.11008MR1475506
  8. NARKIEWICZ W., Finite polynomial orbits: A survey, In: Algebraic Number Theory and Diophantine Analysis. (F. Halter-Koch, R. Tichy, eds.), Proceedings of the International Conference, Graz, Austria, August 30-September, Walter de Gruyter, Berlin, 2000, pp. 331-338. Zbl0971.11008MR1770471
  9. NARKIEWICZ W., Problem 9 in The Problem Session on The 3rd Czech and Polish Conference on Number Theory, Acta Math. Inform. Univ. Ostraviensis 8 (2000), 9. MR1800217

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