La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

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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 Group theory and generalizations (not classified at a more specific level)
• 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 (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
• 20L05 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
  • 20M05 Free semigroups, generators and relations, word problems [See also 03D40, 08A50, 20F10]
  • 20M07 Varieties of semigroups
  • 20M10 General structure theory
  • 20M11 Radical theory
  • 20M12 Ideal theory
  • 20M14 Commutative semigroups
  • 20M15 Mappings of semigroups
  • 20M17 Regular semigroups
  • 20M18 Inverse semigroups
  • 20M19 Orthodox semigroups
  • 20M20 Semigroups of transformations, etc. [See also 47D03, 47H20, 54H15]
  • 20M25 Semigroup rings, multiplicative semigroups of rings [See also 16S36, 16Y60]
  • 20M30 Representation of semigroups; actions of semigroups on sets
  • 20M35 Semigroups in automata theory, linguistics, etc. [See also 03D05, 68Q70, 68T50]
  • 20M50 Connections of semigroups with homological algebra and category theory
  • 20M99 None of the above, but in this section
• 20Nxx Other generalizations of groups
• 20P05 Probabilistic methods in group theory [See also 60Bxx]

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