Polynomials with Frobenius Galois groups

被引：2
|
作者：
Cangelmi, L [1 ]
机构：
[1] Univ Rome La Sapienza, Dipartimento Metodi & Modelli Matematici, I-00161 Rome, Italy
来源：
COMMUNICATIONS IN ALGEBRA | 2000年 / 28卷 / 02期
关键词：
D O I：
10.1080/00927870008826864
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An effective characterization of polynomials of degree n whose Galois groups are Frobenius groups with kernel of order n is given. Some examples of such polynomials are listed.
引用
收藏
页码：845 / 859
页数：15
相关论文
共 50 条
  • [21] Cmputation of Galois groups of rational polynomials
    Fieker, Claus
    Klueners, Juergen
    LMS JOURNAL OF COMPUTATION AND MATHEMATICS, 2014, 17 (01): : 141 - 158
  • [22] Galois groups in a family of dynatomic polynomials
    Krumm, David
    JOURNAL OF NUMBER THEORY, 2018, 187 : 469 - 511
  • [23] Galois groups of multivariate Tutte polynomials
    Bohn, Adam
    Cameron, Peter J.
    Mueller, Peter
    JOURNAL OF ALGEBRAIC COMBINATORICS, 2012, 36 (02) : 223 - 230
  • [24] Galois groups of multivariate Tutte polynomials
    Adam Bohn
    Peter J. Cameron
    Peter Müller
    Journal of Algebraic Combinatorics, 2012, 36 : 223 - 230
  • [25] GALOIS GROUPS OF RANDOM ADDITIVE POLYNOMIALS
    Bary-Soroker, Lior
    Entin, Alexei
    McKemmie, Eilidh
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2024, : 2231 - 2259
  • [26] Galois groups of iterates of some unicritical polynomials
    Bush, Michael R.
    Hindes, Wade
    Looper, Nicole R.
    ACTA ARITHMETICA, 2017, 181 (01) : 57 - 73
  • [27] Galois groups of certain even octic polynomials
    Chen, Malcolm Hoong Wai
    Chin, Angelina Yan Mui
    Tan, Ta Sheng
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2022,
  • [28] On the Galois groups of iterated generic additive polynomials
    Odoni, RWK
    MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1997, 121 : 1 - 6
  • [29] Computing Galois groups of certain families of polynomials
    Shokri, Khosro Monsef
    Shaffaf, Jafar
    Taleb, Reza
    ACTA ARITHMETICA, 2018, 185 (04) : 357 - 365
  • [30] Computation of the splitting fields and the Galois groups of polynomials
    Anai, H
    Noro, M
    Yokoyama, K
    ALGORITHMS IN ALGEBRAIC GEOMETRY AND APPLICATIONS, 1996, 143 : 29 - 50
12345