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Mathematical Sciences Classification System

20Kxx - Abelian groups

• 5
  20K01
  Finite abelian groups [For sumsets, see 11B13 and 11P70]
• 20K10
  Torsion groups, primary groups and generalized primary groups
• 20K15
  Torsion-free groups, finite rank
• 20K20
  Torsion-free groups, infinite rank
• 20K21
  Mixed groups
• 20K25
  Direct sums, direct products, etc.
• 20K27
  Subgroups
• 1
  20K30
  Automorphisms, homomorphisms, endomorphisms, etc.
• 20K35
  Extensions
• 20K40
  Homological and categorical methods
• 20K45
  Topological methods [See also 22A05, 22B05]
• 20K99
  None of the above, but in this section