Concepedia

Higher Ramification Groups

Higher Ramification Groups is a decreasing filtration of subgroups of the Galois group of a finite extension of local fields, distinguished by measuring the extent to which elements of the Galois group induce higher-order congruences on the valuation ring beyond the first ramification group.

7

Publications

135

Citations

7

Authors

5

Institutions

Publications per year

2017–2026

0

Parents

Publications

7

Higher derivations and automorphisms of complete local rings

Nickolas Heerema · Bulletin of the American Mathematical Society · 1970 · 34 citations · Full text

, , +12

automorphism groups for p-cyclic covers of the affine line

Claus Lehr, Michel Matignon · Compositio Mathematica · 2005 · 28 citations · Full text

, , +9

ON A LOCAL ANALOGUE OF THE GROTHENDIECK CONJECTURE

Victor Abrashkin · International Journal of Mathematics · 2000 · 23 citations · Full text

, , +10

The local Kronecker-Weber theorem

Jonathan Lubin · Transactions of the American Mathematical Society · 1981 · 14 citations

, , +9

A non-solvable Galois extension of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi mathvariant="double-struck">Q</mml:mi> </mml:math> ramified at 2 only

Lassina Dembélé · Comptes Rendus Mathématique · 2009 · 13 citations

, , +12

1–5 of 7

Authors

7

  1. JL
    Jonathan Lubin

    Brown University, United States

    2 publications · 27 citations

    2

    h-index

  2. VA
    Victor Abrashkin

    Russian Academy of Sciences, Russia

    1 publications · 23 citations

    1

    h-index

  3. SM
    S. M. J. Wilson

    Durham University, United Kingdom

    1 publications · 10 citations

    1

    h-index

  4. NH
    Nickolas Heerema

    Florida State University, United States

    1 publications · 34 citations

    1

    h-index

  5. LD
    Lassina Dembélé

    University of Warwick, United Kingdom

    1 publications · 13 citations

    1

    h-index

1–5 of 7

Institutions

5

  1. Institut de Mathématiques de Bordeaux

    Talence, France

    1 h-index

    1 publications

    28 citations

  2. University of Padua

    Padua, Italy

    1 h-index

    1 publications

    28 citations

  3. Steklov Mathematical Institute

    Moscow, Russia

    1 h-index

    1 publications

    23 citations

  4. Université de Bordeaux

    Bordeaux, France

    1 h-index

    1 publications

    28 citations

  5. Brown University

    Providence, United States

    1 h-index

    1 publications

    13 citations

1–5 of 5

Venues

  1. Bulletin of the London Mathematical Society

    1 publications · 13 citations

    1

    h-index

  2. International Journal of Mathematics

    1 publications · 23 citations

    1

    h-index

  3. 1

    h-index

  4. Comptes Rendus Mathématique

    1 publications · 13 citations

    1

    h-index

  5. Transactions of the American Mathematical Society

    TRAN · 1 publications · 14 citations

    1

    h-index

1–5