Concepedia

Presentation Of Groups

Presentation of Groups is a formal algebraic method that specifies a group by a set of generators and a set of relations among those generators, thereby defining the group as the quotient of a free group by the normal subgroup generated by the relations.

810

Publications

27.2K

Citations

810

Authors

427

Institutions

Publications per year

2017–2026

25

Variants

Group Presentation

Parents

Publications

810

Central elements in core-free groups

George Glauberman · Journal of Algebra · 1966 · 467 citations

, , +6

Free Differential Calculus, IV. The Quotient Groups of the Lower Central Series

K. T. Chen, Ralph H. Fox, Roger C. Lyndon · Annals of Mathematics · 1958 · 363 citations

, , +7

Some two-generator one-relator non-Hopfian groups

Gilbert Baumslag, D. Solitar · Bulletin of the American Mathematical Society · 1962 · 336 citations · Full text

, , +4

Group theory and polarisation algebra

S.R. Cloude · Optik · 1986 · 265 citations

, , +9

An ATLAS of Finite Groups

Robert T. Curtis, Robert A. Wilson, Joy Conway et al. · 2003 · 250 citations

, , +10

1–5 of 810

Authors

810

  1. GB
    Gilbert Baumslag

    City College of New York, United States

    22 publications · 985 citations

    16

    h-index

  2. CM
    C. M. Campbell

    University of St Andrews, United Kingdom

    12 publications · 221 citations

    11

    h-index

  3. CF
    Charles F. Miller

    The University of Melbourne, Australia

    8 publications · 170 citations

    8

    h-index

  4. MA
    Michael Aschbacher

    California Institute of Technology, United States

    8 publications · 447 citations

    8

    h-index

  5. EF
    E. F. Robertson

    University of St Andrews, United Kingdom

    8 publications · 147 citations

    8

    h-index

1–5 of 810

Institutions

427

  1. City College of New York

    New York, United States

    12 h-index

    14 publications

    607 citations

  2. University of St Andrews

    St Andrews, United Kingdom

    12 h-index

    34 publications

    659 citations

  3. Queen Mary University of London

    London, United Kingdom

    12 h-index

    18 publications

    374 citations

  4. University of Illinois Urbana-Champaign

    Urbana, United States

    12 h-index

    13 publications

    589 citations

  5. Hebrew University of Jerusalem

    Jerusalem, Israel

    11 h-index

    16 publications

    551 citations

  6. McGill University

    Montreal, Canada

    11 h-index

    16 publications

    561 citations

  7. University of Toronto

    Toronto, Canada

    11 h-index

    11 publications

    434 citations

  8. Mathematical Institute of the Slovak Academy of Sciences

    Bratislava, Slovakia

    11 h-index

    25 publications

    533 citations

1–8 of 427

Venues

  1. Journal of Algebra

    123 publications · 4.4K citations

    34

    h-index

  2. Proceedings of the London Mathematical Society

    31 publications · 1.4K citations

    22

    h-index

  3. Proceedings of the American Mathematical Society

    PROC · 36 publications · 796 citations

    18

    h-index

  4. Journal of Pure and Applied Algebra

    21 publications · 845 citations

    17

    h-index

  5. Transactions of the American Mathematical Society

    TRAN · 34 publications · 990 citations

    17

    h-index

1–5