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Mathematical Sciences Classification System

20-XX - Group theory and generalizations

• 8
  20-00
  General reference works (handbooks, dictionaries, bibliographies, etc.)
• 141
  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)
• 179
  20-06
  Proceedings, conferences, collections, etc.
• 2
  20-99
  None of the above, but in this section.
• 2
  (+5)
  20Axx
  Foundations
• 20
  (+20)
  20Bxx
  Permutation groups
• 90
  (+97)
  20Cxx
  Representation theory of groups
  [See also 19A22 (for representation rings and Burnside rings)]
• 41
  (+49)
  20Dxx
  Abstract finite groups
• 50
  (+69)
  20Exx
  Structure and classification of infinite or finite groups
• 41
  (+180)
  20Fxx
  Special aspects of infinite or finite groups
• 71
  (+77)
  20Gxx
  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)
  20Hxx
  Other groups of matrices
  [See also 15A30]
• 13
  (+19)
  20Jxx
  Connections with homological algebra and category theory
• 18
  (+6)
  20Kxx
  Abelian groups
• 1
  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}
• 29
  (+25)
  20Mxx
  Semigroups
• 6
  (+18)
  20Nxx
  Other generalizations of groups
• (+2)
  20Pxx
  Probabilistic methods in group theory
  [See also 60Bxx]