Concepedia

Group-theoretic Proofs

Group-Theoretic Proofs is a method in number theory that employs the algebraic structure of groups to establish Fermat's Little Theorem by leveraging properties of cyclic groups and Lagrange's Theorem.

86

Publications

3.1K

Citations

121

Authors

79

Institutions

Publications per year

2017–2026

2

Parents

Publications

86

Recursive Unsolvability of Group Theoretic Problems

Michael O. Rabin · Annals of Mathematics · 1958 · 254 citations

, , +13

Some sufficient conditions for a group to be nilpotent

P. Hall · Illinois Journal of Mathematics · 1958 · 176 citations · Full text

, , +6

Interpolated free group factors

Kenneth J. Dykema · Pacific Journal of Mathematics · 1994 · 146 citations · Full text

, , +9

On a relation between information inequalities and group theory

Terence Chan, Raymond W. Yeung · IEEE Transactions on Information Theory · 2002 · 139 citations

, , +8

Succinct quantum proofs for properties of finite groups

John Watrous · 2002 · 127 citations

, , +12

1–5 of 86

Authors

121

  1. NA
    N. A. Vavilov

    St Petersburg University, Russia

    3 publications · 99 citations

    3

    h-index

  2. AC
    Andrew Chermak

    Kansas State University, United States

    2 publications · 69 citations

    2

    h-index

  3. JE
    J. E. Roseblade

    Jesus University, South Korea

    2 publications · 169 citations

    2

    h-index

  4. JW
    John Watrous

    University of Calgary, Canada

    2 publications · 157 citations

    2

    h-index

  5. GT
    Gunnar Traustason

    University of Bath, United Kingdom

    1 publications · 11 citations

    1

    h-index

1–5 of 121

Institutions

79

  1. University of Calgary

    Calgary, Canada

    2 h-index

    2 publications

    157 citations

  2. St Petersburg University

    Saint Petersburg, Russia

    2 h-index

    2 publications

    75 citations

  3. University of Warwick

    Coventry, United Kingdom

    2 h-index

    2 publications

    34 citations

  4. California Institute of Technology

    Pasadena, United States

    2 h-index

    2 publications

    116 citations

  5. Centre National de la Recherche Scientifique

    Paris, France

    2 h-index

    3 publications

    90 citations

  6. University of Waterloo

    Waterloo, Canada

    2 h-index

    3 publications

    59 citations

  7. Jesus University

    Jeonju, South Korea

    2 h-index

    2 publications

    169 citations

  8. University of Southampton

    Southampton, United Kingdom

    2 h-index

    2 publications

    66 citations

1–8 of 79

Venues

  1. Proceedings of the American Mathematical Society

    PROC · 9 publications · 244 citations

    9

    h-index

  2. Proceedings of the London Mathematical Society

    5 publications · 246 citations

    5

    h-index

  3. Pacific Journal of Mathematics

    4 publications · 235 citations

    4

    h-index

  4. arXiv (Cornell University)

    Repository · 4 publications · 78 citations

    4

    h-index

  5. International Journal of Algebra and Computation

    IJAC · 4 publications · 85 citations

    4

    h-index

1–5