| 20-XX |
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Group theory and generalizations |
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20-00 |
General reference works (handbooks, dictionaries, bibliographies, etc.) |
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20-01 |
Instructional exposition (textbooks, tutorial papers, etc.) |
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20-02 |
Research exposition (monographs, survey articles) |
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20-03 |
Historical (must also be assigned at least one classification number from Section 01) |
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20-04 |
Explicit machine computation and programs (not the theory of computation or programming) |
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20-06 |
Proceedings, conferences, collections, etc. |
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20Axx |
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Foundations |
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20Bxx |
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Permutation groups |
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20Cxx |
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Representation theory of groups [See also 19A22 (for representation rings and Burnside rings)] |
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20Dxx |
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Abstract finite groups |
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20Exx |
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Structure and classification of infinite or finite groups |
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20Fxx |
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Special aspects of infinite or finite groups |
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20Gxx |
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Linear algebraic groups (classical groups) For arithmetic theory, see 11E57, 11H56; for geometric theory, see 14Lxx, 22Exx; for other methods in representation theory, see |
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20Hxx |
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Other groups of matrices [See also 15A30] |
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20Jxx |
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Connections with homological algebra and category theory |
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20Kxx |
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Abelian groups |
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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 |
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20Mxx |
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Semigroups |
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20Nxx |
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Other generalizations of groups |
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20P05 |
Probabilistic methods in group theory [See also 60Bxx] |
