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20Fxx

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Special aspects of infinite or finite groups
  • 20F05 Generators, relations, and presentations
  • 20F06 Cancellation theory; application of van Kampen diagrams [See also 57M05]
  • 20F10 Word problems, other decision problems, connections with logic and automata [See also 03B25, 03D05, 03D40, 06B25, 08A50, 68Q70]
  • 20F12 Commutator calculus
  • 20F14 Derived series, central series, and generalizations
  • 20F16 Solvable groups, supersolvable groups [See also 20D10]
  • 20F17 Formations of groups, Fitting classes [See also 20D10]
  • 20F18 Nilpotent groups [See also 20D15]
  • 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 [See also 20E36]
  • 20F29 Representations of groups as automorphism groups of algebraic systems
  • 20F34 Fundamental groups and their automorphisms [See also 57M05, 57Sxx]
  • 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 [See also 22E40, 51F15]
  • 20F60 Ordered groups [See mainly 06F15]
  • 20F65 Geometric group theory [See also 05C25, "/msc/
  • 20Exx.html">20E08, 57Mxx]
  • 20F67 Hyperbolic groups and nonpositively curved groups
  • 20F69 Asymptotic properties of groups
  • 20F99 None of the above, but in this section