Bauer's congruence in algebraic number fields

被引：0
|
作者：
Lassák, M [1 ]
机构：
[1] Slovak Acad Sci, Inst Math, SK-81473 Bratislava, Slovakia
来源：
NUMBER THEORY | 2000年 / 20卷
关键词：
idempotent; (semi)group belonging to an idempotent; unit group; Bauer's congruence; Wilson's theorem; Gaussian integers; quadratic fields;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper a generalization of the Bauer's congruence in algebraic number fields is proved.
引用
收藏
页码：143 / 154
页数：12
相关论文
共 50 条
  • [41] On some imaginary triquadratic number fields k with Cl2(k) ≃ (2, 4) or (2, 2, 2)
    Azizi, Abdelmalek
    Chems-Eddin, Mohamed Mahmoud
    Zekhnini, Abdelkader
    COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2021, 62 (01): : 1 - 14
  • [42] A classification of exceptional components in group algebras over abelian number fields
    Bachle, Andreas
    Caicedo, Mauricio
    Van Gelder, Inneke
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2016, 15 (05)
  • [43] IMAGINARY MULTIQUADRATIC NUMBER FIELDS WITH CLASS GROUP OF EXPONENT 3 AND 5
    Klueners, Juergen
    Komatsu, Toru
    MATHEMATICS OF COMPUTATION, 2021, 90 (329) : 1483 - 1497
  • [44] Hyperelliptic curves and homomorphisms to ideal class groups of quadratic number fields
    Sivertsen, Tormod Kalberg
    Soleng, Ragnar
    JOURNAL OF NUMBER THEORY, 2011, 131 (12) : 2303 - 2309
  • [45] A new family of imaginary quadratic fields with class number divisible by 5
    Jin, Seokho
    Kim, Kwang-Seob
    RAMANUJAN JOURNAL, 2025, 66 (03)
  • [46] Unit group of some triquadratic number fields and Greenberg’s conjectureUnit group of some triquadratic...A. Sbai et al.
    Abdellah Sbai
    Idriss Jerrari
    Abdelmalek Azizi
    Rendiconti del Circolo Matematico di Palermo Series 2, 2025, 74 (4):
  • [47] On 2-class field towers of some imaginary quadratic number fields
    Lemmermeyer, F
    ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 1997, 67 (1): : 205 - 214
  • [48] Unit groups of some multiquadratic number fields and 2-class groups
    Chems-Eddin, Mohamed Mahmoud
    PERIODICA MATHEMATICA HUNGARICA, 2022, 84 (02) : 235 - 249
  • [49] The densities for 3-ranks of tame kernels of cyclic cubic number fields
    Cheng XiaoYun
    Guo XueJun
    Qin HouRong
    SCIENCE CHINA-MATHEMATICS, 2014, 57 (01) : 43 - 47
  • [50] On indefinite k-universal integral quadratic forms over number fields
    Zilong He
    Yong Hu
    Fei Xu
    Mathematische Zeitschrift, 2023, 304
12345