Mathematica > Mathematics and Algorithms > Discrete Mathematics > Group Theory > GroupElements
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GroupElements

GroupElements[group]
returns the list of all elements of group.

GroupElements[group, {r1, ..., rk}]
returns the elements numbered in group in the standard order.

Details and OptionsDetails and Options

  • The elements of a permutation group are found by constructing a strong generating set representation of the group.
  • The order of elements returned by GroupElements depends on the base of the strong generating set. An explicit base can be chosen by setting GroupActionBase->{p1, p2, ...}.
  • GroupElements[group, {1}] gives the identity element for any choice of the group base.
  • Negative positions are assumed to count from the end.
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