AbelianGroup

AbelianGroup[{n1,n2,}]
represents the direct product of the cyclic groups of degrees n1,n2,.

DetailsDetails

  • The degrees ni of AbelianGroup[{n1,n2,}] must be non-negative integers.
  • AbelianGroup[{n1,n2,}] is represented by default as a permutation group on the points {1,,n1+n2+}.

ExamplesExamplesopen allclose all

Basic Examples  (3)Basic Examples  (3)

Number of elements of an Abelian group:

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Permutation generators of an Abelian group:

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Elements of a permutation representation of an Abelian group:

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Introduced in 2010
(8.0)