Mathematical Sciences Classification System

20Fxx - Special aspects of infinite or finite groups

  • 11
    20F05
    Generators, relations, and presentations
  • 5
    20F06
    Cancellation theory; application of van Kampen diagrams [See also 57M05]
  • 12
    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]
  • 1
    20F12
    Commutator calculus
  • 2
    20F14
    Derived series, central series, and generalizations
  • 5
    20F16
    Solvable groups, supersolvable groups [See also 20D10]
  • 2
    20F17
    Formations of groups, Fitting classes [See also 20D10]
  • 4
    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
  • 2
    20F28
    Automorphism groups of groups [See also 20E36]
  • 1
    20F29
    Representations of groups as automorphism groups of algebraic systems
  • 8
    20F34
    Fundamental groups and their automorphisms [See also 57M05, 57Sxx]
  • 19
    20F36
    Braid groups; Artin groups
  • 3
    20F38
    Other groups related to topology or analysis
  • 1
    20F40
    Associated Lie structures
  • 20F45
    Engel conditions
  • 2
    20F50
    Periodic groups; locally finite groups
  • 33
    20F55
    Reflection and Coxeter groups [See also 22E40, 51F15]
  • 6
    20F60
    Ordered groups [See mainly 06F15]
  • 39
    20F65
    Geometric group theory [See also 05C25, 20E08, 57Mxx]
  • 13
    20F67
    Hyperbolic groups and nonpositively curved groups
  • 5
    20F69
    Asymptotic properties of groups
  • 20F70
    Algebraic geometry over groups; equations over groups
  • 20F99
    None of the above, but in this section

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