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  • 20-XX Group theory and generalizations
  • 20Fxx Special aspects of infinite or finite groups
  • 20F34 Fundamental groups and their automorphisms

20Fxx Special aspects of infinite or finite groups

  • 20F05 Generators, relations, and presentations
  • 20F06 Cancellation theory; application of van Kampen diagrams
  • 20F10 Word problems, other decision problems, connections with logic and automata
  • 20F11 Groups of finite Morley rank
  • 20F12 Commutator calculus
  • 20F14 Derived series, central series, and generalizations
  • 20F16 Solvable groups, supersolvable groups
  • 20F17 Formations of groups, Fitting classes
  • 20F18 Nilpotent groups
  • 20F19 Generalizations of solvable and nilpotent groups
  • 20F22 Other classes of groups defined by subgroup chains
  • 20F24 FC-groups and their generalizations
  • 20F28 Automorphism groups of groups
  • 20F29 Representations of groups as automorphism groups of algebraic systems
  • 20F34 Fundamental groups and their automorphisms
  • 20F36 Braid groups; Artin groups
  • 20F38 Other groups related to topology or analysis
  • 20F40 Associated Lie structures
  • 20F45 Engel conditions
  • 20F50 Periodic groups; locally finite groups
  • 20F55 Reflection and Coxeter groups
  • 20F60 Ordered groups
  • 20F65 Geometric group theory
  • 20F67 Hyperbolic groups and nonpositively curved groups
  • 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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