Classification Search Result

Mathematics Subject Classification – MSC2020

20-XX

Group theory and generalizations

122834

20Fxx

Special aspects of infinite or finite groups

28568

20F05

Generators, relations, and presentations of groups

8622

20F06

Cancellation theory of groups; application of van Kampen diagrams [See also 57M05]

592

20F10

Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) [See also 03B25, 03D05, 03D40, 06B25, 08A50, 20M05, 68Q70]

2721

20F11

Groups of finite Morley rank [See also 03C45, 03C60]

20F12

Commutator calculus

1092

20F14

Derived series, central series, and generalizations for groups

1414

20F16

Solvable groups, supersolvable groups [See also 20D10]

1789

20F17

Formations of groups, Fitting classes [See also 20D10]

243

20F18

Nilpotent groups [See also 20D15]

1641

20F19

Generalizations of solvable and nilpotent groups

1437

20F22

Other classes of groups defined by subgroup chains

468

20F24

FC-groups and their generalizations

561

20F28

Automorphism groups of groups [See also 20E36]

1528

20F29

Representations of groups as automorphism groups of algebraic systems

513

20F34

Fundamental groups and their automorphisms (group-theoretic aspects) [See also 57M05, 57Sxx]

957

20F36

Braid groups; Artin groups

2685

20F38

Other groups related to topology or analysis

676

20F40

Associated Lie structures for groups

553

20F45

Engel conditions

488

20F50

Periodic groups; locally finite groups

1970

20F55

Reflection and Coxeter groups (group-theoretic aspects) [See also 22E40, 51F15]

3352

20F60

Ordered groups (group-theoretic aspects) [See mainly 06F15]

603

20F65

Geometric group theory [See also 05C25, 20E08, 57Mxx]

4589

20F67

Hyperbolic groups and nonpositively curved groups

1500

20F69

Asymptotic properties of groups

771

20F70

Algebraic geometry over groups; equations over groups

248

20F99

None of the above, but in this section

557

Overview

General and overarching topics; collections

History and biography

Mathematical logic and foundations

Combinatorics

Order, lattices, ordered algebraic structures

General algebraic systems

Number theory

Field theory and polynomials

Commutative algebra

Algebraic geometry

Linear and multilinear algebra; matrix theory

Associative rings and algebras

Nonassociative rings and algebras

Category theory; homological algebra

\(K\)-theory

Group theory and generalizations

Topological groups, Lie groups

Real functions

Measure and integration

Functions of a complex variable

Potential theory

Several complex variables and analytic spaces

Special functions

Ordinary differential equations

Partial differential equations

Dynamical systems and ergodic theory

Difference and functional equations

Sequences, series, summability

Approximations and expansions

Harmonic analysis on Euclidean spaces

Abstract harmonic analysis

Integral transforms, operational calculus

Integral equations

Functional analysis

Operator theory

Calculus of variations and optimal control; optimization

Geometry

Convex and discrete geometry

Differential geometry

General topology

Algebraic topology

Manifolds and cell complexes

Global analysis, analysis on manifolds

Probability theory and stochastic processes

Statistics

Numerical analysis

Computer science

Mechanics of particles and systems

Mechanics of deformable solids

Fluid mechanics

Optics, electromagnetic theory

Classical thermodynamics, heat transfer

Quantum theory

Statistical mechanics, structure of matter

Relativity and gravitational theory

Astronomy and astrophysics

Geophysics

Operations research, mathematical programming

Game theory, economics, finance, and other social and behavioral sciences

Biology and other natural sciences

Systems theory; control

Information and communication theory, circuits

Mathematics education

any	anywhere
cc	classification code
ct	classification text

a & b	logical and
abc*	right wildcard
a \| b	logical or
"ab c"	phrase
!ab	logical not
(ab c)	parentheses

Examples

Fields

Operators

Mathematics Subject Classification – MSC2020

Overview