Concepedia

Burnside's Lemma

Burnside's Lemma is a foundational theorem in enumerative combinatorics that belongs to the class of group-theoretic methods for counting distinct configurations under group actions, distinguished by its formula expressing the number of orbits as the average number of fixed points of the group elements.

121

Publications

4.9K

Citations

141

Authors

103

Institutions

Publications per year

2017–2026

5

Variants

Cauchy-frobenius LemmaCauchy-frobenius Theorem

Parents

Publications

121

On the <i>p</i>-Length of <i>p</i>-Soluble Groups and Reduction Theorems for Burnside's Problem

P. Hall, Graham Higman · Proceedings of the London Mathematical Society · 1956 · 424 citations

, , +3

SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR GROUPS OF ODD EXPONENT

Efim Zelmanov · Mathematics of the USSR-Izvestiya · 1991 · 277 citations · Full text

, , +4

A SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR 2-GROUPS

Efim Zelmanov · Mathematics of the USSR-Sbornik · 1992 · 227 citations

, , +3

The Burnside algebra of a finite group

Louis Solomon · Journal of Combinatorial Theory · 1967 · 152 citations

, , +4

The Structure of Mackey Functors

Jacques Thévenaz, Peter Webb · Transactions of the American Mathematical Society · 1995 · 124 citations · Full text

, , +15

1–5 of 121

Authors

141

  1. EZ
    Efim Zelmanov

    University of California San Diego, United States

    6 publications · 589 citations

    6

    h-index

  2. TY
    Tomoyuki Yoshida

    Hokkaido University, Japan

    4 publications · 74 citations

    4

    h-index

  3. DL
    Dawei Lu

    Dalian University of Technology, China

    4 publications · 90 citations

    4

    h-index

  4. WM
    Wilhelm Magnus

    New York University, United States

    3 publications · 104 citations

    3

    h-index

  5. TT
    Tammo tom Dieck

    University of Göttingen, Germany

    3 publications · 63 citations

    3

    h-index

1–5 of 141

Institutions

103

  1. Dalian University of Technology

    Dalian, China

    4 h-index

    7 publications

    156 citations

  2. University of Göttingen

    Göttingen, Germany

    3 h-index

    3 publications

    63 citations

  3. United Church of Christ

    Cleveland, United States

    3 h-index

    3 publications

    120 citations

  4. University of California, Berkeley

    Berkeley, United States

    3 h-index

    3 publications

    92 citations

  5. Bilkent University

    Ankara, Türkiye

    3 h-index

    3 publications

    63 citations

  6. Lomonosov Moscow State University

    Moscow, Russia

    3 h-index

    4 publications

    69 citations

  7. Bielefeld University

    Bielefeld, Germany

    2 h-index

    5 publications

    179 citations

  8. University of Palermo

    Palermo, Italy

    2 h-index

    2 publications

    91 citations

1–8 of 103

Venues

  1. Journal of Algebra

    16 publications · 469 citations

    13

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 6 publications · 388 citations

    6

    h-index

  3. Advances in Mathematics

    4 publications · 135 citations

    4

    h-index

  4. Mathematics of the USSR-Izvestiya

    4 publications · 508 citations

    4

    h-index

  5. Semigroup Forum

    4 publications · 79 citations

    4

    h-index

1–5