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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2009.1
- 수록면
- 283 - 296 (14page)
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초록· 키워드
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Let f(x) = xⁿ + a be a binomial polynomial in Z[x] and fm(x) be the m-th iterate of f(x). In this work we study a necessary condition to be the Galois group of fm(x) is isomorphic to a wreath product group [Cn]m where Cn is a cyclic group of order n.
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참고문헌 (9)
참고문헌 신청
H. E. Rose / 1994 / A course in number theory, 2nd ed / Oxford Science Publications
J. E. Cremona / 1989 / On the Galois groups of the iterates of x2 + 1 / Mathematika 36 : 259 ~ 261
L. Danielson / 1995 / The Galois theory of iterated binomials / 박사 / Oregon state uni-versity
L. Danielson / 2001 / On the irreducibility of the iterates of xn ¡ b / Proc. Amer.Math. Soc 130 : 1589 ~ 1596
M. Stoll / 1992 / Galois groups over Q of some iterated polynomials / Arch. Math 59 : 239 ~ 244
J. E. Cremona / 1989 / On the Galois groups of the iterates of x2 + 1 / Mathematika 36 : 259 ~ 261
L. Danielson / 1995 / The Galois theory of iterated binomials / 박사 / Oregon state uni-versity
L. Danielson / 2001 / On the irreducibility of the iterates of xn ¡ b / Proc. Amer.Math. Soc 130 : 1589 ~ 1596
M. Stoll / 1992 / Galois groups over Q of some iterated polynomials / Arch. Math 59 : 239 ~ 244
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