Concepedia

Commutator Subgroup

The Commutator Subgroup is the subgroup generated by all commutators of a group, distinguished as the smallest normal subgroup containing every element of the form \( aba^{-1}b^{-1} \) for elements \( a \) and \( b \) in the group.

275

Publications

8.1K

Citations

302

Authors

205

Institutions

Publications per year

2017–2026

17

Variants

Derived Subgroup

Parents

Publications

275

On Dehn's Lemma and the Asphericity of Knots

C. D. Papakyriakopoulos · Annals of Mathematics · 1957 · 463 citations

, , +6

A basis for free Lie rings and higher commutators in free groups

Marshall Hall · Proceedings of the American Mathematical Society · 1950 · 218 citations

, , +14

On finitely generated profinite groups, I: strong completeness and uniform bounds

Nikolay Nikolov, Dan Segal · Annals of Mathematics · 2007 · 213 citations · Full text

, , +8

Algebraic Matric Groups and the Picard-Vessiot Theory of Homogeneous Linear Ordinary Differential Equations

E. R. Kolchin · Annals of Mathematics · 1948 · 171 citations

, , +15

Some remarks on commutators

Öystein Ore · Proceedings of the American Mathematical Society · 1951 · 147 citations · Full text

, , +12

1–5 of 275

Authors

302

  1. PS
    Pavel Shumyatsky

    Universidade de Brasília, Brazil

    13 publications · 195 citations

    12

    h-index

  2. RB
    Reinhold Baer

    Goethe University Frankfurt, Germany

    9 publications · 335 citations

    9

    h-index

  3. NA
    N. A. Vavilov

    St Petersburg University, Russia

    8 publications · 222 citations

    8

    h-index

  4. EI
    E. I. Khukhro

    Sobolev Institute of Mathematics, Russia

    5 publications · 93 citations

    5

    h-index

  5. GB
    Gilbert Baumslag

    City College of New York, United States

    4 publications · 75 citations

    4

    h-index

1–5 of 302

Institutions

205

  1. Universidade de Brasília

    Brasília, Brazil

    12 h-index

    24 publications

    343 citations

  2. St Petersburg University

    Saint Petersburg, Russia

    8 h-index

    10 publications

    260 citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    7 h-index

    9 publications

    371 citations

  4. California Institute of Technology

    Pasadena, United States

    6 h-index

    6 publications

    135 citations

  5. Bar-Ilan University

    Ramat Gan, Israel

    5 h-index

    9 publications

    138 citations

  6. Sobolev Institute of Mathematics

    Novosibirsk, Russia

    5 h-index

    7 publications

    117 citations

  7. Australian National University

    Canberra, Australia

    4 h-index

    4 publications

    71 citations

  8. Bielefeld University

    Bielefeld, Germany

    4 h-index

    4 publications

    158 citations

1–8 of 205

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 20 publications · 756 citations

    17

    h-index

  2. Pacific Journal of Mathematics

    15 publications · 491 citations

    15

    h-index

  3. Proceedings of the American Mathematical Society

    PROC · 22 publications · 841 citations

    14

    h-index

  4. Journal of Algebra

    13 publications · 433 citations

    12

    h-index

  5. Communications in Algebra

    12 publications · 170 citations

    11

    h-index

1–5