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group[orbit] - Compute the orbit of a point
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Calling Sequence
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orbit(pg, i)
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Parameters
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pg
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permutation group or a set of permutations
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i
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point
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Description
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This function computes the orbit of i under the group action of pg. The orbit is returned as a set of points.
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The command with(group,orbit) allows the use of the abbreviated form of this command.
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Examples
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![pg := permgroup(8, {[[1, 2]], [[1, 2, 5, 6, 7, 8]]})](/support/helpjp/helpview.aspx?si=8615/file04193/math67.png)
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![s1 := {[[1, 2]], [[5, 1, 8]]}](/support/helpjp/helpview.aspx?si=8615/file04193/math71.png)
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