Concepedia

Inverse Galois Problem

The Inverse Galois Problem is a fundamental question in Galois theory that asks whether every finite group can be realized as the Galois group of some Galois extension of the field of rational numbers.

25

Publications

837

Citations

28

Authors

28

Institutions

Publications per year

2017–2026

2

Parents

Publications

25

The inverse Galois problem and rational points on moduli spaces

Michael D. Fried, Helmut V�lklein · Mathematische Annalen · 1991 · 152 citations

, , +14

An Algorithm of Katz and its Application to the Inverse Galois Problem

Michael Dettweiler, Stefan Reiter · Journal of Symbolic Computation · 2000 · 104 citations

, , +11

Big symplectic or orthogonal monodromy modulo ℓ

Chris Hall · Duke Mathematical Journal · 2007 · 67 citations

, , +12

Motives with exceptional Galois groups and the inverse Galois problem

Zhiwei Yun · Inventiones mathematicae · 2013 · 50 citations

, , +9

Solution of the Inverse Problem of Differential Galois Theory in the Classical Case

Carol Tretkoff, Marvin Tretkoff · American Journal of Mathematics · 1979 · 42 citations

, , +13

1–5 of 25

Authors

28

  1. LD
    Luís Dieulefait

    Universitat de Barcelona, Spain

    4 publications · 58 citations

    4

    h-index

  2. MD
    Michael D. Fried

    University of California, Irvine, United States

    3 publications · 209 citations

    3

    h-index

  3. GW
    Gabor Wiese

    University of Luxembourg, Luxembourg

    3 publications · 46 citations

    3

    h-index

  4. PD
    Pierre Dèbes

    Université de Lille, France

    3 publications · 74 citations

    3

    h-index

  5. NG
    Nour Ghazi

    Université de Lille, France

    2 publications · 46 citations

    2

    h-index

1–5 of 28

Institutions

28

  1. Universitat de Barcelona

    Barcelona, Spain

    3 h-index

    3 publications

    46 citations

  2. University of California, Irvine

    Irvine, United States

    2 h-index

    2 publications

    181 citations

  3. University of Luxembourg

    Luxembourg, Luxembourg

    2 h-index

    4 publications

    46 citations

  4. University of Udine

    Udine, Italy

    1 h-index

    1 publications

    13 citations

  5. Heidelberg University

    Heidelberg, Germany

    1 h-index

    2 publications

    208 citations

  6. University of Pisa

    Pisa, Italy

    1 h-index

    1 publications

    13 citations

  7. University of Duisburg-Essen

    Essen, Germany

    1 h-index

    1 publications

    23 citations

  8. Tel Aviv University

    Tel Aviv, Israel

    1 h-index

    1 publications

    10 citations

1–8 of 28

Venues

  1. Mathematische Annalen

    2 publications · 163 citations

    2

    h-index

  2. Annals of Mathematics

    2 publications · 53 citations

    2

    h-index

  3. Duke Mathematical Journal

    DMJ · 2 publications · 85 citations

    2

    h-index

  4. Compositio Mathematica

    2 publications · 33 citations

    2

    h-index

  5. 1

    h-index

1–5