Concepedia

Frobenius Automorphism

The Frobenius Automorphism is a canonical automorphism in Galois theory associated with a prime ideal in a Galois extension of number fields, characterized by its action of raising elements to the power of the cardinality of the residue field modulo the prime.

102

Publications

3K

Citations

133

Authors

111

Institutions

Publications per year

2017–2026

4

Variants

Frobenius Element

Parents

Publications

102

Isocrystals with additional structure. II

Robert Kottwitz · Compositio Mathematica · 1997 · 457 citations · Full text

, , +8

On the Automorphisms of Free Groups and Free Nilpotent Groups

S. Andreadakis · Proceedings of the London Mathematical Society · 1965 · 183 citations

, , +9

Isogeny classes of abelian varieties over finite fields

Taira Honda · Journal of the Mathematical Society of Japan · 1968 · 155 citations · Full text

, , +10

The Elementary Theory of the Frobenius Automorphisms

Ehud Hrushovski · arXiv (Cornell University) · 2004 · 105 citations · Full text

, , +10

Zeta functions of graphs: a stroll through the garden

Choice Reviews Online · 2011 · 84 citations

, , +15

1–5 of 102

Authors

133

  1. EI
    E. I. Khukhro

    Sobolev Institute of Mathematics, Russia

    5 publications · 85 citations

    5

    h-index

  2. HY
    Hiroyoshi Yamaki

    University of Tsukuba, Japan

    4 publications · 57 citations

    4

    h-index

  3. SS
    Stephen Scheinberg

    University of California, Irvine, United States

    2 publications · 40 citations

    2

    h-index

  4. RM
    R. M. Bryant

    University of Manchester, United Kingdom

    2 publications · 49 citations

    2

    h-index

  5. HK
    Herbert Kamowitz

    University of Massachusetts Boston, United States

    2 publications · 40 citations

    2

    h-index

1–5 of 133

Institutions

111

  1. Sobolev Institute of Mathematics

    Novosibirsk, Russia

    6 h-index

    9 publications

    161 citations

  2. Hebrew University of Jerusalem

    Jerusalem, Israel

    4 h-index

    6 publications

    242 citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    3 h-index

    3 publications

    79 citations

  4. University of Tsukuba

    Tsukuba, Japan

    3 h-index

    3 publications

    47 citations

  5. Lomonosov Moscow State University

    Moscow, Russia

    3 h-index

    3 publications

    47 citations

  6. Heidelberg University

    Heidelberg, Germany

    2 h-index

    4 publications

    54 citations

  7. Universidade de Brasília

    Brasília, Brazil

    2 h-index

    2 publications

    43 citations

  8. Laboratoire de Mathématiques Blaise Pascal

    Aubière, France

    2 h-index

    2 publications

    44 citations

1–8 of 111

Venues

  1. Journal of Algebra

    11 publications · 225 citations

    10

    h-index

  2. Proceedings of the American Mathematical Society

    PROC · 5 publications · 110 citations

    5

    h-index

  3. arXiv (Cornell University)

    Repository · 4 publications · 157 citations

    4

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 4 publications · 105 citations

    4

    h-index

  5. Archiv der Mathematik

    AdM · 4 publications · 73 citations

    4

    h-index

1–5