CyclicGroup

CyclicGroup[n]
represents the cyclic group of degree n.

DetailsDetails

  • The degree n of CyclicGroup[n] must be a non-negative integer. Degrees 0 and 1 correspond to the trivial or identity group.
  • CyclicGroup[n] is represented by default as a permutation group on the points .
  • Cyclic groups are commutative.

ExamplesExamplesopen allclose all

Basic Examples (3)Basic Examples (3)

Number of elements of a cyclic group:

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Permutation generators of a cyclic group:

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Elements of a permutation representation of a cyclic group:

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