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GROUP OF POLYNOMIAL PERMUTATIONS OF ℤpr
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  • Journal title : Honam Mathematical Journal
  • Volume 34, Issue 4,  2012, pp.483-494
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2012.34.4.483
 Title & Authors
GROUP OF POLYNOMIAL PERMUTATIONS OF ℤpr
Lee, Kwankyu; Lee, Heisook;
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 Abstract
The set of all polynomial permutations of forms a group. We investigate the structure of the group and some related groups, and completely determine the structure of the group of all polynomial permutations of .
 Keywords
polynomial permutation;Galois ring;permutation group;
 Language
English
 Cited by
 References
1.
L. Carlitz, Functions and polynomials (mod $p^{n}$), Acta Arith. 9 (1964), 67-78. crossref(new window)

2.
G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, fourth edition, Oxford, 1960.

3.
G. Keller and F. R. Olson, Counting polynomial functions (mod $p^{n}$), Duke Math. Journal 35 (1968), 835-838. crossref(new window)

4.
R. Lidl and H. Niederreiter, Finite fields, Addison-Wesley, 1983.

5.
G. Mullen and H. Stevens, Polynomial functions (mod m), Acta Math. Hung. 44 (1984), no. 3-4, 237-241. crossref(new window)

6.
W. Nobauer, Uber gruppen von restklassen nach restpolynomidealen, Osterreich. Akad. Wiss. Math.-Nat. Kl. S.-B. IIa. 162 (1953), 207-233.

7.
R. L. Rivest, Permutation polynomials modulo $2^{\omega}$, Finite Fields Appl. 7 (2001), 287-292. crossref(new window)

8.
D. Singmaster, On polynomial functions (mod m), J. Number Theory 6 (1974), 345-352. crossref(new window)