A new algorithm for the computation of logarithmic l-class groups of number fields

被引:9
作者
Diaz, FDY
Jaulent, JF
Pauli, S
Pohst, M
Soriano-Gafiuk, F
机构
[1] Univ Bordeaux 1, Lab A2X, F-33405 Talence, France
[2] Univ Bordeaux 1, Inst Math Bordeaux, F-33405 Talence, France
[3] Univ Metz, Dept Math, F-57045 Metz, France
[4] Tech Univ Berlin, Inst Math, D-10623 Berlin, Germany
关键词
K-theory; wild kernel; logarithmic class group; computation;
D O I
10.1080/10586458.2005.10128902
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We present an algorithm for the computation of logarithmic l-class groups of number fields. our principal motivation is the effective determination of the l-rank of the wild kernel in the K-theory of number fields.
引用
收藏
页码:65 / 74
页数:10
相关论文
共 20 条
  • [1] CANON JJ, 2003, COMPUTER ALGEBRA SYS
  • [2] Cohen H., 2000, Advanced topics in computational number theory
  • [3] Cohen H., 1993, Graduate Texts in Mathematics
  • [4] Algorithmic approach to the logarithmic class group
    Diaz, FDY
    Soriano, F
    [J]. JOURNAL OF NUMBER THEORY, 1999, 76 (01) : 1 - 15
  • [5] Dubois I, 2004, ABH MATH SEM HAMBURG, V74, P89, DOI 10.1007/BF02941527
  • [6] FEDERER LJ, 1981, INVENT MATH, V62, P443
  • [7] FORD D, 2002, J THEOR NOMBR BORDX, V14, P151
  • [8] Hasse H., 1980, NUMBER THEORY, DOI [10.1007/978-3-642-66671-1, DOI 10.1007/978-3-642-66671-1]
  • [9] Computing the multiplicative group of residue class rings
    Hess, F
    Pauli, S
    Pohst, ME
    [J]. MATHEMATICS OF COMPUTATION, 2003, 72 (243) : 1531 - 1548
  • [10] HESS F, 1996, KLASSENGRUPPNEBERECH