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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
• 7
  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