Mathematical Sciences Classification System

20-XX - Group theory and generalizations

  • 20-00
    General reference works (handbooks, dictionaries, bibliographies, etc.)
  • 20-01
    Instructional exposition (textbooks, tutorial papers, etc.)
  • 20-02
    Research exposition (monographs, survey articles)
  • 20-03
    Historical (must also be assigned at least one classification number from Section 01)
  • 20-04
    Explicit machine computation and programs (not the theory of computation or programming)
  • 20-06
    Proceedings, conferences, collections, etc.
  • 20-99
    None of the above, but in this section.
  • Foundations
  • Permutation groups
  • Representation theory of groups
    [See also 19A22 (for representation rings and Burnside rings)]
  • Abstract finite groups
  • Structure and classification of infinite or finite groups
  • Special aspects of infinite or finite groups
  • Linear algebraic groups and related topics
    {For arithmetic theory, see 11E57, 11H56; for geometric theory, see 14Lxx, 22Exx; for other methods in representation theory, see 15A30, 22E45, 22E46, 22E47, 22E50, 22E55}
  • Other groups of matrices
    [See also 15A30]
  • Connections with homological algebra and category theory
  • Abelian groups
  • Groupoids (i.e. small categories in which all morphisms are isomorphisms)
    {For sets with a single binary operation, see 20N02; for topological groupoids, see 22A22, 58H05}
  • Semigroups
  • Other generalizations of groups
  • Probabilistic methods in group theory
    [See also 60Bxx]

Rewrite code from the image

Reload image

Reload image