The irreducibility of compositions of linear polynomials over a finite field
Cohen, S. D.
Compositio Mathematica, Tome 47 (1982), p. 149-152 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1982-01-01
@article{CM_1982__47_2_149_0,
     author = {Cohen, S. D.},
     title = {The irreducibility of compositions of linear polynomials over a finite field},
     journal = {Compositio Mathematica},
     volume = {47},
     year = {1982},
     pages = {149-152},
     mrnumber = {677016},
     zbl = {0499.12017},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CM_1982__47_2_149_0}
}

Cohen, S. D. The irreducibility of compositions of linear polynomials over a finite field. Compositio Mathematica, Tome 47 (1982) pp. 149-152. http://gdmltest.u-ga.fr/item/CM_1982__47_2_149_0/

[1] S. Agou: Irreducibilite des polynomes f(Xpr - aX) sur un corps fini Fps. J. reine angew. Math. 292 (1977) 191-195. | MR 439825 | Zbl 0352.12019

[2] S. Agou: Irreducibilite des polynomes f(Xp2r - aXpr - bX) sur un corps fini F ps. J. Number Theory 10 (1978) 64-69;11 (1979) 20. | MR 484447 | Zbl 0369.12012 | Zbl 0401.12019

[3] S. Agou: Irreducibilite des polynomes f(∑mi = 0 aiXpri) sur un corps fini Fps. Can. Math. Bull. 23 (2) (1980) 207-212. | Zbl 0434.12010

[4] S.D. Cohen: The distribution of polynomials over finite fields. Acta Arith. 17 (1970) 255-271. | MR 277501 | Zbl 0209.36001

[5] M. Fried: On a conjecture of Schur. Mich. Math. J. 17 (1970) 41-55. | MR 257033 | Zbl 0169.37702

[6] P. Leonard and K. Williams: Quartics over GF(2''). Proc. Amer. Math. Soc. 36 (1972) 347-350. | MR 308088 | Zbl 0274.12013

[7] I. Schur: Zur Theorie der einfach transitiven Permutationsgruppen. S.B. Preuss. Akad. Wiss. Phys.-Math.K1. (1933) 598-623. | JFM 59.0151.01 | Zbl 0007.14903