Concepedia

Free Groups

Free Groups is a group in abstract algebra characterized by a set of generators with no relations among them, meaning every element is uniquely expressible as a reduced word in the generators and their inverses.

1.9K

Publications

70.5K

Citations

1.9K

Authors

829

Institutions

Publications per year

2017–2026

68

Parents

Publications

1.9K

Free Rings and Their Relations.

David J. Fieldhouse, P. M. Cohn · American Mathematical Monthly · 1973 · 1.1K citations

, , +11

Free subgroups in linear groups

Jacques Tits · Journal of Algebra · 1972 · 880 citations

, , +7

Introduction to Knot Theory.

H. F. Trotter, Richard H. Crowell, Ralph H. Fox · American Mathematical Monthly · 1964 · 740 citations

, , +16

Moduli of graphs and automorphisms of free groups

Marc Culler, Karen Vogtmann · Inventiones mathematicae · 1986 · 577 citations

, , +8

Train Tracks and Automorphisms of Free Groups

Mladen Bestvina, Michael Handel · Annals of Mathematics · 1992 · 485 citations

, , +6

1–5 of 1.9K

Authors

1.9K

  1. GB
    Gilbert Baumslag

    City College of New York, United States

    30 publications · 857 citations

    18

    h-index

  2. AM
    Alexei Myasnikov

    City College of New York, United States

    18 publications · 1.2K citations

    15

    h-index

  3. SS
    Saharon Shelah

    Hebrew University of Jerusalem, Israel

    15 publications · 440 citations

    13

    h-index

  4. KV
    Karen Vogtmann

    Cornell University, United States

    12 publications · 1K citations

    12

    h-index

  5. IK
    Ilya Kapovich

    University of Illinois Urbana-Champaign, United States

    15 publications · 648 citations

    12

    h-index

1–5 of 1.9K

Institutions

829

  1. Centre National de la Recherche Scientifique

    Paris, France

    24 h-index

    52 publications

    2.4K citations

  2. Hebrew University of Jerusalem

    Jerusalem, Israel

    22 h-index

    44 publications

    1.7K citations

  3. Cornell University

    Ithaca, United States

    21 h-index

    35 publications

    1.7K citations

  4. Rutgers, The State University of New Jersey

    New Brunswick, United States

    19 h-index

    24 publications

    1.6K citations

  5. McGill University

    Montreal, Canada

    19 h-index

    37 publications

    1.7K citations

  6. University of Illinois Urbana-Champaign

    Urbana, United States

    19 h-index

    43 publications

    1.5K citations

  7. City College of New York

    New York, United States

    18 h-index

    32 publications

    1.5K citations

  8. Lomonosov Moscow State University

    Moscow, Russia

    16 h-index

    31 publications

    681 citations

1–8 of 829

Venues

  1. Journal of Algebra

    169 publications · 7.1K citations

    39

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 88 publications · 3K citations

    31

    h-index

  3. Journal of the London Mathematical Society

    61 publications · 2.5K citations

    28

    h-index

  4. Pacific Journal of Mathematics

    44 publications · 1.7K citations

    28

    h-index

  5. Proceedings of the American Mathematical Society

    PROC · 88 publications · 2.5K citations

    28

    h-index

1–5