Mathematical Sciences Classification System

20Exx - Structure and classification of infinite or finite groups

  • 6
    20E05
    Free nonabelian groups
  • 4
    20E06
    Free products, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations
  • 10
    20E07
    Subgroup theorems; subgroup growth
  • 10
    20E08
    Groups acting on trees [See also 20F65]
  • 2
    20E10
    Quasivarieties and varieties of groups
  • 2
    20E15
    Chains and lattices of subgroups, subnormal subgroups [See also 20F22]
  • 7
    20E18
    Limits, profinite groups
  • 2
    20E22
    Extensions, wreath products, and other compositions [See also 20J05]
  • 20E25
    Local properties
  • 20E26
    Residual properties and generalizations; residually finite groups
  • 1
    20E28
    Maximal subgroups
  • 4
    20E32
    Simple groups [See also 20D05]
  • 1
    20E34
    General structure theorems
  • 4
    20E36
    Automorphisms of infinite groups [For automorphisms of finite groups, see 20D45]
  • 14
    20E42
    Groups with a $BN$-pair; buildings [See also 51E24]
  • 2
    20E45
    Conjugacy classes
  • 20E99
    None of the above, but in this section

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