20-00 General reference works (handbooks, dictionaries, bibliographies, etc.) ( 1 Dok.)

• 20-01 Instructional exposition (textbooks, tutorial papers, etc.) ( 0 Dok.)
• 20-02 Research exposition (monographs, survey articles) ( 0 Dok.)
• 20-03 Historical (must also be assigned at least one classification number from Section 01) ( 0 Dok.)
• 20-04 Explicit machine computation and programs (not the theory of computation or programming) ( 0 Dok.)
• 20-06 Proceedings, conferences, collections, etc. ( 0 Dok.)
• 20-XX Group theory and generalizations ( 0 Dok.)
• 20A05 Axiomatics and elementary properties ( 0 Dok.)
• 20A10 Metamathematical considerations ( 0 Dok.)
• 20A15 Applications of logic to group theory ( 0 Dok.)
• 20A99 None of the above, but in this section ( 0 Dok.)
• 20Axx Foundations ( 0 Dok. )
• 20B05 General theory for finite groups ( 0 Dok.)
• 20B07 General theory for infinite groups ( 0 Dok.)
• 20B10 Characterization theorems ( 0 Dok.)
• 20B15 Primitive groups ( 0 Dok.)
• 20B20 Multiply transitive finite groups ( 0 Dok.)
• 20B22 Multiply transitive infinite groups ( 0 Dok.)
• 20B25 Finite automorphism groups of algebraic, geometric, or combinatorial structures ( 0 Dok.)
• 20B27 Infinite automorphism groups ( 0 Dok.)
• 20B30 Symmetric groups ( 0 Dok.)
• 20B35 Subgroups of symmetric groups ( 0 Dok.)
• 20B40 Computational methods ( 0 Dok.)
• 20B99 None of the above, but in this section ( 0 Dok.)
• 20Bxx Permutation groups ( 0 Dok. )
• 20C05 Group rings of finite groups and their modules ( 0 Dok.)
• 20C07 Group rings of infinite groups and their modules ( 0 Dok.)
• 20C08 Hecke algebras and their representations ( 1 Dok.)
• 20C10 Integral representations of finite groups ( 0 Dok.)
• 20C11 p-adic representations of finite groups ( 0 Dok.)
• 20C12 Integral representations of infinite groups ( 0 Dok.)
• 20C15 Ordinary representations and characters ( 0 Dok.)
• 20C20 Modular representations and characters ( 0 Dok.)
• 20C25 Projective representations and multipliers ( 0 Dok.)
• 20C30 Representations of finite symmetric groups ( 0 Dok.)
• 20C32 Representations of infinite symmetric groups ( 0 Dok.)
• 20C33 Representations of finite groups of Lie type ( 0 Dok.)
• 20C34 Representations of sporadic groups ( 0 Dok.)
• 20C35 Applications of group representations to physics ( 0 Dok.)
• 20C40 Computational methods ( 0 Dok.)
• 20C99 None of the above, but in this section ( 0 Dok.)
• 20Cxx Representation theory of groups ( 1 Dok. )
• 20D05 Classification of simple and nonsolvable groups ( 0 Dok.)
• 20D06 Simple groups: alternating groups and groups of Lie type ( 0 Dok.)
• 20D08 Simple groups: sporadic groups ( 0 Dok.)
• 20D10 Solvable groups, theory of formations, Schunck classes, Fitting classes, pi-length, ranks ( 0 Dok.)
• 20D15 Nilpotent groups, p-groups ( 0 Dok.)
• 20D20 Sylow subgroups, Sylow properties, pi-groups, pi-structure ( 0 Dok.)
• 20D25 Special subgroups (Frattini, Fitting, etc.) ( 0 Dok.)
• 20D30 Series and lattices of subgroups ( 0 Dok.)
• 20D35 Subnormal subgroups ( 0 Dok.)
• 20D40 Products of subgroups ( 0 Dok.)
• 20D45 Automorphisms ( 0 Dok.)
• 20D60 Arithmetic and combinatorial problems ( 0 Dok.)
• 20D99 None of the above, but in this section ( 0 Dok.)
• 20Dxx Abstract finite groups ( 0 Dok. )
• 20E05 Free nonabelian groups ( 0 Dok.)
• 20E06 Free products, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations ( 0 Dok.)
• 20E07 Subgroup theorems; subgroup growth ( 0 Dok.)
• 20E08 Groups acting on trees ( 0 Dok.)
• 20E10 Quasivarieties and varieties of groups ( 0 Dok.)
• 20E15 Chains and lattices of subgroups, subnormal subgroups ( 0 Dok.)
• 20E18 Limits, profinite groups ( 0 Dok.)
• 20E22 Extensions, wreath products, and other compositions ( 0 Dok.)
• 20E25 Local properties ( 0 Dok.)
• 20E26 Residual properties and generalizations ( 0 Dok.)
• 20E28 Maximal subgroups ( 0 Dok.)
• 20E32 Simple groups ( 0 Dok.)
• 20E34 General structure theorems ( 0 Dok.)
• 20E36 General theorems concerning automorphisms of groups ( 0 Dok.)
• 20E42 Groups with a BN-pair; buildings ( 0 Dok.)
• 20E45 Conjugacy classes ( 0 Dok.)
• 20E99 None of the above, but in this section ( 0 Dok.)
• 20Exx Structure and classification of infinite or finite groups ( 0 Dok. )
• 20F05 Generators, relations, and presentations ( 0 Dok.)
• 20F06 Cancellation theory; application of van Kampen diagrams ( 0 Dok.)
• 20F10 Word problems, other decision problems, connections with logic and automata ( 0 Dok.)
• 20F12 Commutator calculus ( 0 Dok.)
• 20F14 Derived series, central series, and generalizations ( 0 Dok.)
• 20F16 Solvable groups, supersolvable groups ( 0 Dok.)
• 20F17 Formations of groups, Fitting classes ( 0 Dok.)
• 20F18 Nilpotent groups ( 0 Dok.)
• 20F19 Generalizations of solvable and nilpotent groups ( 0 Dok.)
• 20F22 Other classes of groups defined by subgroup chains ( 0 Dok.)
• 20F24 FC-groups and their generalizations ( 0 Dok.)
• 20F28 Automorphism groups of groups ( 0 Dok.)
• 20F29 Representations of groups as automorphism groups of algebraic systems ( 0 Dok.)
• 20F34 Fundamental groups and their automorphisms ( 0 Dok.)
• 20F36 Braid groups; Artin groups ( 0 Dok.)
• 20F38 Other groups related to topology or analysis ( 0 Dok.)
• 20F40 Associated Lie structures ( 0 Dok.)
• 20F45 Engel conditions ( 0 Dok.)
• 20F50 Periodic groups; locally finite groups ( 0 Dok.)
• 20F55 Reflection and Coxeter groups ( 0 Dok.)
• 20F60 Ordered groups ( 0 Dok.)
• 20F65 Geometric group theory ( 0 Dok.)
• 20F67 Hyperbolic groups and nonpositively curved groups ( 0 Dok.)
• 20F69 Asymptotic properties of groups ( 0 Dok.)
• 20F99 None of the above, but in this section ( 0 Dok.)
• 20Fxx Special aspects of infinite or finite groups ( 0 Dok. )
• 20G05 Representation theory ( 0 Dok.)
• 20G10 Cohomology theory ( 0 Dok.)
• 20G15 Linear algebraic groups over arbitrary fields ( 0 Dok.)
• 20G20 Linear algebraic groups over the reals, the complexes, the quaternions ( 0 Dok.)
• 20G25 Linear algebraic groups over local fields and their integers ( 0 Dok.)
• 20G30 Linear algebraic groups over global fields and their integers ( 0 Dok.)
• 20G35 Linear algebraic groups over adèles and other rings and schemes ( 0 Dok.)
• 20G40 Linear algebraic groups over finite fields ( 0 Dok.)
• 20G42 Quantum groups (quantized function algebras) and their representations ( 0 Dok.)
• 20G45 Applications to physics ( 0 Dok.)
• 20G99 None of the above, but in this section ( 0 Dok.)
• 20Gxx Linear algebraic groups (classical groups) ( 0 Dok. )
• 20H05 Unimodular groups, congruence subgroups ( 0 Dok.)
• 20H10 Fuchsian groups and their generalizations ( 0 Dok.)
• 20H15 Other geometric groups, including crystallographic groups ( 0 Dok.)
• 20H20 Other matrix groups over fields ( 0 Dok.)
• 20H25 Other matrix groups over rings ( 0 Dok.)
• 20H30 Other matrix groups over finite fields ( 0 Dok.)
• 20H99 None of the above, but in this section ( 0 Dok.)
• 20Hxx Other groups of matrices ( 0 Dok. )
• 20J05 Homological methods in group theory ( 0 Dok.)
• 20J06 Cohomology of groups ( 0 Dok.)
• 20J15 Category of groups ( 0 Dok.)
• 20J99 None of the above, but in this section ( 0 Dok.)
• 20Jxx Connections with homological algebra and category theory ( 0 Dok. )
• 20K01 Finite abelian groups ( 0 Dok.)
• 20K10 Torsion groups, primary groups and generalized primary groups ( 0 Dok.)
• 20K15 Torsion-free groups, finite rank ( 0 Dok.)
• 20K20 Torsion-free groups, infinite rank ( 0 Dok.)
• 20K21 Mixed groups ( 0 Dok.)
• 20K25 Direct sums, direct products, etc. ( 0 Dok.)
• 20K27 Subgroups ( 0 Dok.)
• 20K30 Automorphisms, homomorphisms, endomorphisms, etc. ( 0 Dok.)
• 20K35 Extensions ( 0 Dok.)
• 20K40 Homological and categorical methods ( 0 Dok.)
• 20K45 Topological methods ( 0 Dok.)
• 20K99 None of the above, but in this section ( 0 Dok.)
• 20Kxx Abelian groups ( 0 Dok. )
• 20L05 Groupoids (i.e. small categories in which all morphisms are isomorphisms) ( 0 Dok.)
• 20M05 Free semigroups, generators and relations, word problems ( 0 Dok.)
• 20M07 Varieties of semigroups ( 0 Dok.)
• 20M10 General structure theory ( 0 Dok.)
• 20M11 Radical theory ( 0 Dok.)
• 20M12 Ideal theory ( 0 Dok.)
• 20M14 Commutative semigroups ( 0 Dok.)
• 20M15 Mappings of semigroups ( 0 Dok.)
• 20M17 Regular semigroups ( 0 Dok.)
• 20M18 Inverse semigroups ( 0 Dok.)
• 20M19 Orthodox semigroups ( 0 Dok.)
• 20M20 Semigroups of transformations, etc. ( 0 Dok.)
• 20M25 Semigroup rings, multiplicative semigroups of rings ( 0 Dok.)
• 20M30 Representation of semigroups; actions of semigroups on sets ( 0 Dok.)
• 20M35 Semigroups in automata theory, linguistics, etc. ( 0 Dok.)
• 20M50 Connections of semigroups with homological algebra and category theory ( 0 Dok.)
• 20M99 None of the above, but in this section ( 0 Dok.)
• 20Mxx Semigroups ( 0 Dok. )
• 20N02 Sets with a single binary operation (groupoids) ( 0 Dok.)
• 20N05 Loops, quasigroups ( 0 Dok.)
• 20N10 Ternary systems (heaps, semiheaps, heapoids, etc.) ( 0 Dok.)
• 20N15 n-ary systems (nge 3) ( 0 Dok.)
• 20N20 Hypergroups ( 0 Dok.)
• 20N25 Fuzzy groups ( 0 Dok.)
• 20N99 None of the above, but in this section ( 0 Dok.)
• 20Nxx Other generalizations of groups ( 0 Dok. )
• 20P05 Probabilistic methods in group theory ( 0 Dok.)

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Letzte Änderung: 14.07.10