1 | 20F05 | Generators, relations, and presentations |
| 1 | 20F06 | Cancellation theory; application of van Kampen diagrams [See also 57M05] |
| 5 | 20F10 | Word problems, other decision problems, connections with logic and automata [See also 03B25, 03D05, 03D40, 06B25, 08A50, 20M05, 68Q70] |
| 20F11 | Groups of finite Morley rank [See also 03C45, 03C60] |
| 20F12 | Commutator calculus |
| 1 | 20F14 | Derived series, central series, and generalizations |
| 1 | 20F16 | Solvable groups, supersolvable groups [See also 20D10] |
| 1 | 20F17 | Formations of groups, Fitting classes [See also 20D10] |
| 1 | 20F18 | Nilpotent groups [See also 20D15] |
| 1 | 20F19 | Generalizations of solvable and nilpotent groups |
| 2 | 20F22 | Other classes of groups defined by subgroup chains |
| 2 | 20F24 | FC-groups and their generalizations |
| 1 | 20F28 | Automorphism groups of groups [See also 20E36] |
| 20F29 | Representations of groups as automorphism groups of algebraic systems |
| 5 | 20F34 | Fundamental groups and their automorphisms [See also 57M05, 57Sxx] |
| 5 | 20F36 | Braid groups; Artin groups |
| 2 | 20F38 | Other groups related to topology or analysis |
| 1 | 20F40 | Associated Lie structures |
| 20F45 | Engel conditions |
| 20F50 | Periodic groups; locally finite groups |
| 16 | 20F55 | Reflection and Coxeter groups [See also 22E40, 51F15] |
| 2 | 20F60 | Ordered groups [See mainly 06F15] |
| 6 | 20F65 | Geometric group theory [See also 05C25, 20E08, 57Mxx] |
| 3 | 20F67 | Hyperbolic groups and nonpositively curved groups |
| 2 | 20F69 | Asymptotic properties of groups |
| 20F70 | Algebraic geometry over groups; equations over groups |
| 20F99 | None of the above, but in this section |