MSC results for "20"
20
(1940-now)
Group theory and generalizations
20-00
(1973-now)
General reference works (handbooks, dictionaries, bibliographies, etc.)
20-01
(1973-now)
Instructional exposition (textbooks, tutorial papers, etc.)
20-02
(1973-now)
Research exposition (monographs, survey articles)
20-03
(1973-now)
Historical (must also be assigned at least one classification number from Section 01)
20-04
(1973-now)
Explicit machine computation and programs (not the theory of computation or programming)
20-06
(1973-now)
Proceedings, conferences, collections, etc.
20A
(1973-now)
Foundations
20B
(1973-now)
Permutation groups
20C
(1973-now)
Representation theory of groups [See also 19A22 (for representation rings and Burnside rings)]
20D
(1973-now)
Abstract finite groups
20E
(1973-now)
Structure and classification of infinite or finite groups
20F
(1973-now)
Special aspects of infinite or finite groups
20G
(1973-now)
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]
20J
(1973-now)
Connections with homological algebra and category theory
20K
(1973-now)
Abelian groups
20L
(1973-now)
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]
20M
(1973-now)
Semigroups
20N
(1973-now)
Other generalizations of groups
20.00
(1959-1972)
General
20.08
(1959-1972)
Varieties of groups
20.0
(1940-1958)
Group theory and generalizations
20.10
(1959-1972)
Group presentations; free groups, generators, relations
20.15
(1959-1972)
Periodic groups
20.18
(1959-1972)
Groups with local properties
20.20
(1959-1972)
Groups acting on sets, permutation groups
20.22
(1959-1972)
Automorphism groups
20.25
(1959-1972)
Finite group theory
20.27
(1959-1972)
Structure of groups, classification
20.29
(1959-1972)
Simple groups
20.30
(1959-1972)
Abelian groups
20.40
(1959-1972)
Nilpotent, solvable, $p$-groups
20.43
(1959-1972)
Sylow subgroups, $\Pi$-subgroups
20.48
(1959-1972)
Group extensions
20.50
(1959-1972)
Homological methods in group theory
20.51
(1959-1972)
Limits of systems of groups
20.52
(1959-1972)
General products of groups (including semidirect, wreath, free, amalgamated)
20.54
(1959-1972)
Special subgroups
20.56
(1959-1972)
Series of subgroups
20.58
(1959-1972)
Lattices of subgroups
20.60
(1959-1972)
Crystallographic and discrete geometric groups
20.65
(1959-1972)
Modular groups, discrete subgroups of classical groups
20.70
(1959-1972)
Classical groups [See also 22.55]
20.72
(1959-1972)
Collineation groups
20.75
(1959-1972)
Linear groups, general [See also 14.50]
20.80
(1959-1972)
Representations, characters, group algebras
20.85
(1959-1972)
Representations of symmetric groups
20.90
(1959-1972)
Semigroup algebras, representations, characters
20.92
(1959-1972)
Semigroups, general theory [See also 06.70]
20.93
(1959-1972)
Semigroups, structure and classification
20.95
(1959-1972)
Other binary systems; groupoids, quasigroups, loops
20.97
(1959-1972)
Ternary systems; heaps, semiheaps, heapoids
20.99
(1959-1972)
None of the above, but in this section
