Concepedia

Hilbert Class Field

The Hilbert Class Field is the maximal unramified abelian extension of a number field, wherein the Galois group is isomorphic to the ideal class group of the base field.

48

Publications

1.2K

Citations

69

Authors

45

Institutions

Publications per year

2017–2026

3

Variants

Hilbert Class Field Extension

Parents

Publications

48

Lectures in Abstract Algebra: Vol. III, Theory of Fields and Galois Theory

Walter Ledermann, Nathan Jacobson · The Mathematical Gazette · 1966 · 153 citations

, , +13

Number fields with class number congruent to 4 mod 8 and Hilbert's theorem 94

Hershy Kisilevsky · Journal of Number Theory · 1976 · 91 citations

, , +9

Class invariants by Shimura's reciprocity law

Alice Gee · Journal de Théorie des Nombres de Bordeaux · 1999 · 73 citations · Full text

, , +8

Explicit class field theory for global function fields

David Zywina · Journal of Number Theory · 2012 · 65 citations

, , +10

Remarks on $Z_p$-extensions of number fields

Takashi Fukuda · Proceedings of the Japan Academy Series A Mathematical Sciences · 1994 · 64 citations · Full text

, , +12

1–5 of 48

Authors

69

  1. DC
    Daniel C. Mayer

    Mohamed I University, Morocco

    3 publications · 52 citations

    3

    h-index

  2. CX
    Chaoping Xing

    Nanyang Technological University, Singapore

    2 publications · 59 citations

    2

    h-index

  3. HH
    Heng Huat Chan

    National University of Singapore, Singapore

    2 publications · 61 citations

    2

    h-index

  4. AZ
    Abdelkader Zekhnini

    Mohamed I University, Morocco

    2 publications · 27 citations

    2

    h-index

  5. MT
    Mohammed Taous

    Mohamed I University, Morocco

    2 publications · 27 citations

    2

    h-index

1–5 of 69

Institutions

45

  1. Queen's University

    Kingston, Canada

    3 h-index

    4 publications

    100 citations

  2. California Institute of Technology

    Pasadena, United States

    3 h-index

    3 publications

    128 citations

  3. National University of Singapore

    Singapore, Singapore

    2 h-index

    2 publications

    58 citations

  4. Université Moulay Ismail de Meknes

    Meknes, Morocco

    2 h-index

    2 publications

    27 citations

  5. Mohamed I University

    Oujda, Morocco

    2 h-index

    4 publications

    54 citations

  6. University of Illinois Urbana-Champaign

    Urbana, United States

    2 h-index

    3 publications

    82 citations

  7. Equipes Traitement de l'Information et Systèmes

    Cergy-Pontoise, France

    1 h-index

    1 publications

    13 citations

  8. Universidade de São Paulo

    São Paulo, Brazil

    1 h-index

    1 publications

    31 citations

1–8 of 45

Venues

  1. Journal of Number Theory

    4 publications · 179 citations

    5

    h-index

  2. Mathematics of Computation

    MCOM · 4 publications · 82 citations

    4

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 2 publications · 24 citations

    2

    h-index

  4. Canadian Mathematical Bulletin

    CMB · 2 publications · 50 citations

    2

    h-index

  5. ArXiv.org

    Repository · 2 publications · 29 citations

    2

    h-index

1–5