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

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