Concepedia

Approximate Groups

Approximate Groups is a mathematical framework in additive combinatorics that generalizes the notion of a group by allowing the product set of a symmetric set with itself to be covered by a bounded number of translates of the set, thereby capturing algebraic structure in settings where exact closure under the group operation fails.

53

Publications

2.2K

Citations

67

Authors

45

Institutions

Publications per year

2017–2026

5

Parents

Publications

53

On Some Types of Topological Groups

Kenkichi Iwasawa · Annals of Mathematics · 1949 · 633 citations

, , +10

Approximate Subgroups of Linear Groups

Emmanuel Breuillard, Ben Green, Terence Tao · Geometric and Functional Analysis · 2011 · 198 citations

, , +10

APPROXIMATE SYMMETRIES

N. Kh. Ibragimov · Mathematics of the USSR-Sbornik · 1989 · 111 citations

, , +16

On approximate ring homomorphisms

Roman Badora · Journal of Mathematical Analysis and Applications · 2002 · 78 citations

, , +6

Simple Lie groups without the approximation property

Uffe Haagerup, Tim de Laat · Duke Mathematical Journal · 2013 · 70 citations · Full text

, , +11

1–5 of 53

Authors

67

  1. BG
    Ben Green

    University of California, Los Angeles, United States

    9 publications · 376 citations

    9

    h-index

  2. EB
    Emmanuel Breuillard

    Université Paris-Sud, France

    9 publications · 396 citations

    9

    h-index

  3. TT
    Terence Tao

    University of California, Los Angeles, United States

    5 publications · 258 citations

    5

    h-index

  4. RS
    Ross Stokke

    University of Winnipeg, Canada

    3 publications · 65 citations

    3

    h-index

  5. AT
    Andreas Thom

    Technische Universität Dresden, Germany

    2 publications · 31 citations

    2

    h-index

1–5 of 67

Institutions

45

  1. Université Paris-Sud

    Orsay, France

    6 h-index

    8 publications

    385 citations

  2. Laboratoire de Mathématiques Blaise Pascal

    Aubière, France

    4 h-index

    6 publications

    354 citations

  3. University of Cambridge

    Cambridge, United Kingdom

    3 h-index

    3 publications

    145 citations

  4. UCLA Health

    Los Angeles, United States

    3 h-index

    3 publications

    229 citations

  5. Institute of Mathematical Sciences

    Chennai, India

    3 h-index

    3 publications

    229 citations

  6. Hebrew University of Jerusalem

    Jerusalem, Israel

    2 h-index

    2 publications

    48 citations

  7. University of Winnipeg

    Winnipeg, Canada

    2 h-index

    2 publications

    41 citations

  8. University of California, Los Angeles

    Los Angeles, United States

    2 h-index

    4 publications

    252 citations

1–8 of 45

Venues

  1. arXiv (Cornell University)

    Repository · 5 publications · 62 citations

    5

    h-index

  2. Journal of Mathematical Physics

    2 publications · 31 citations

    2

    h-index

  3. Annals of Mathematics

    2 publications · 683 citations

    2

    h-index

  4. Studia Mathematica

    2 publications · 28 citations

    2

    h-index

  5. Proceedings of the American Mathematical Society

    PROC · 2 publications · 27 citations

    2

    h-index

1–5