COMPUTING GALOIS GROUPS

被引：0
|
作者：
Elsenhans, Andreas-stephan [1 ]
机构：
[1] Univ Wurzburg, Dept Math, Wurzburg, Germany
来源：
INTERNATIONAL JOURNAL OF GROUP THEORY | 2024年 / 13卷 / 03期
关键词：
Galois group; Resolvent; Numberfield; COMPUTATION; INVARIANTS;
D O I：
10.22108/ijgt.2023.136401.1825
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The determination of a Galois group is an important question in computational algebraic number theory. One approach is based on the inspection of resolvents. This article reports on this method and on the performance of the current magma [W. Bosma, J. Cannon and C. Playoust, The Magma algebra system. I. The user language, J. Symbolic Comput., 24 (1997) 235-265]. implementation.
引用
收藏
页码：241 / 250
页数：10
相关论文
共 50 条
  • [21] On Galois cohomology and realizability of 2-groups as Galois groups II
    Michailov, Ivo M.
    CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2011, 9 (06): : 1333 - 1343
  • [22] GALOIS p-GROUPS AND GALOIS MODULES
    Chebolu, Sunil
    Minac, Jan
    Schultz, Andrew
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2016, 46 (05) : 1405 - 1446
  • [23] Galois Representations and Galois Groups Over Q
    Arias-de-Reyna, Sara
    Armana, Cecile
    Karemaker, Valentijn
    Rebolledo, Marusia
    Thomas, Lara
    Vila, Nuria
    WOMEN IN NUMBERS EUROPE: RESEARCH DIRECTIONS IN NUMBER THEORY, 2015, 2 : 191 - 205
  • [24] Galois Groups, Galois Representations and Iwasawa Theory
    Sujatha, R.
    JOURNAL OF THE INDIAN INSTITUTE OF SCIENCE, 2022, 102 (3) : 855 - 859
  • [25] DETERMINATION OF GALOIS GROUPS
    STAUDUHA.RP
    MATHEMATICS OF COMPUTATION, 1973, 27 (124) : 981 - 996
  • [26] Galois groups of trinomials
    Cohen, SD
    Movahhedi, A
    Salinier, A
    JOURNAL OF ALGEBRA, 1999, 222 (02) : 561 - 573
  • [27] On the distribution of Galois groups
    Malle, G
    JOURNAL OF NUMBER THEORY, 2002, 92 (02) : 315 - 329
  • [28] Galois groups as quotients of Polish groups
    Krupinski, Krzysztof
    Rzepecki, Tomasz
    JOURNAL OF MATHEMATICAL LOGIC, 2020, 20 (03)
  • [29] On alternating and symmetric groups as Galois groups
    Brink, D
    ISRAEL JOURNAL OF MATHEMATICS, 2004, 142 (1) : 47 - 60
  • [30] Isoclinic Galois groups
    Schmid, Peter
    BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY, 2015, 56 (02): : 763 - 767
12345