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20-XX Group theory and generalizations {Info & Stats}

  • 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.
  • 20Axx Foundations
  • 20Bxx Permutation groups
  • 20Cxx Representation theory of groups [See also 19A22 (for representation rings and Burnside rings)]
  • 20Dxx Abstract finite groups
  • 20Exx Structure and classification of infinite or finite groups
  • 20Fxx Special aspects of infinite or finite groups
  • 20Gxx Linear algebraic groups and related topics(classical groups) {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}
  • 20Hxx Other groups of matrices [See also 15A30]
  • 20Jxx Connections with homological algebra and category theory
  • 20Kxx Abelian groups
  • 20Lxx 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}
  • 20Mxx Semigroups
  • 20Nxx Other generalizations of groups
  • 20Pxx Probabilistic methods in group theory [See also 60Bxx]