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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