Mathematica > Mathematics and Algorithms > Discrete Mathematics > Group Theory > Named Groups > AbelianGroup
BUILT-IN MATHEMATICA SYMBOL

AbelianGroup

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

DetailsDetails

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

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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Scope (1)Scope (1)

Properties & Relations (2)Properties & Relations (2)

Neat Examples (1)Neat Examples (1)

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