The irreducibility of compositions of linear polynomials over a finite field

S. D. Cohen

Compositio Mathematica (1982)

  • Volume: 47, Issue: 2, page 149-152
  • ISSN: 0010-437X

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Cohen, S. D.. "The irreducibility of compositions of linear polynomials over a finite field." Compositio Mathematica 47.2 (1982): 149-152. <http://eudml.org/doc/89564>.

@article{Cohen1982,
author = {Cohen, S. D.},
journal = {Compositio Mathematica},
keywords = {compositions of linear polynomials; finite field; irreducible polynomials; Schur's theorem; primitive transitive permutation group; Galois group},
language = {eng},
number = {2},
pages = {149-152},
publisher = {Martinus Nijhoff Publishers},
title = {The irreducibility of compositions of linear polynomials over a finite field},
url = {http://eudml.org/doc/89564},
volume = {47},
year = {1982},
}

TY - JOUR
AU - Cohen, S. D.
TI - The irreducibility of compositions of linear polynomials over a finite field
JO - Compositio Mathematica
PY - 1982
PB - Martinus Nijhoff Publishers
VL - 47
IS - 2
SP - 149
EP - 152
LA - eng
KW - compositions of linear polynomials; finite field; irreducible polynomials; Schur's theorem; primitive transitive permutation group; Galois group
UR - http://eudml.org/doc/89564
ER -

References

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  1. [1] S. Agou: Irreducibilite des polynomes f(Xpr - aX) sur un corps fini Fps. J. reine angew. Math.292 (1977) 191-195. Zbl0352.12019MR439825
  2. [2] S. Agou: Irreducibilite des polynomes f(Xp2r - aXpr - bX) sur un corps fini F ps. J. Number Theory10 (1978) 64-69;11 (1979) 20. Zbl0401.12019MR484447
  3. [3] S. Agou: Irreducibilite des polynomes f(∑mi = 0 aiXpri) sur un corps fini Fps. Can. Math. Bull.23 (2) (1980) 207-212. Zbl0434.12010
  4. [4] S.D. Cohen: The distribution of polynomials over finite fields. Acta Arith.17 (1970) 255-271. Zbl0209.36001MR277501
  5. [5] M. Fried: On a conjecture of Schur. Mich. Math. J.17 (1970) 41-55. Zbl0169.37702MR257033
  6. [6] P. Leonard and K. Williams: Quartics over GF(2''). Proc. Amer. Math. Soc.36 (1972) 347-350. Zbl0274.12013MR308088
  7. [7] I. Schur: Zur Theorie der einfach transitiven Permutationsgruppen. S.B. Preuss. Akad. Wiss. Phys.-Math.K1. (1933) 598-623. Zbl0007.14903JFM59.0151.01

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