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)]
  • 20C05 Group rings of finite groups and their modules [See also 16S34]
  • 20C07 Group rings of infinite groups and their modules [See also 16S34]
  • 20C08 Hecke algebras and their representations [Nouveau code MSC 2000]
    • Code MSC1991 affilié : 20C99
  • 20C10 Integral representations of finite groups
  • 20C11 p-adic representations of finite groups
  • 20C12 Integral representations of infinite groups
  • 20C15 Ordinary representations and characters
  • 20C20 Modular representations and characters
  • 20C25 Projective representations and multipliers
  • 20C30 Representations of finite symmetric groups
  • 20C32 Representations of infinite symmetric groups
  • 20C33 Representations of finite groups of Lie type
  • 20C34 Representations of sporadic groups
  • 20C35 Applications of group representations to physics
  • 20C40 Computational methods
  • 20C99 None of the above, but in this section
• 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
• 20Nxx Other generalizations of groups
• 20P05 Probabilistic methods in group theory [See also 60Bxx]

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