Mathematical Sciences Classification System

20-XX - Group theory and generalizations

  • 8
    20-00
    General reference works (handbooks, dictionaries, bibliographies, etc.)
  • 138
    20-01
    Instructional exposition (textbooks, tutorial papers, etc.)
  • 7
    20-02
    Research exposition (monographs, survey articles)
  • 23
    20-03
    Historical (must also be assigned at least one classification number from Section 01)
  • 9
    20-04
    Explicit machine computation and programs (not the theory of computation or programming)
  • 175
    20-06
    Proceedings, conferences, collections, etc.
  • 2
    20-99
    None of the above, but in this section.
  • 2
    (+5)
    Foundations
  • 20
    (+20)
    Permutation groups
  • 87
    (+90)
    Representation theory of groups
    [See also 19A22 (for representation rings and Burnside rings)]
  • 41
    (+49)
    Abstract finite groups
  • 48
    (+69)
    Structure and classification of infinite or finite groups
  • 40
    (+177)
    Special aspects of infinite or finite groups
  • 70
    (+75)
    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}
  • 8
    (+30)
    Other groups of matrices
    [See also 15A30]
  • 13
    (+19)
    Connections with homological algebra and category theory
  • 17
    (+6)
    Abelian groups
  • 1
    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}
  • 29
    (+25)
    Semigroups
  • 6
    (+18)
    Other generalizations of groups
  • (+2)
    Probabilistic methods in group theory
    [See also 60Bxx]

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