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group(deprecated)

 inter
 find the intersection of two permutation groups

 Calling Sequence inter(pg1, pg2)

Parameters

 pg1, pg2 - two permgroups of the same degree

Description

 • Important: The group package has been deprecated. Use the superseding command GroupTheory[Intersection] instead.
 • The intersection of two permutation groups is computed, and returned in the form of a permgroup.
 • The command with(group,inter) allows the use of the abbreviated form of this command.

Examples

Important: The group package has been deprecated. Use the superseding command GroupTheory[Intersection] instead.

 > $\mathrm{with}\left(\mathrm{group}\right):$
 > $\mathrm{pg1}≔\mathrm{permgroup}\left(7,\left\{\left[\left[2,3,4\right]\right],\left[\left[3,4,5,6,7\right]\right]\right\}\right):$
 > $\mathrm{pg2}≔\mathrm{permgroup}\left(7,\left\{\left[\left[1,2\right]\right],\left[\left[1,2,3,4,5,6\right]\right]\right\}\right):$
 > $\mathrm{inter}\left(\mathrm{pg1},\mathrm{pg2}\right)$
 ${\mathrm{permgroup}}{}\left({7}{,}\left\{\left[\left[{2}{,}{4}{,}{3}\right]\right]{,}\left[\left[{2}{,}{4}{,}{5}\right]\right]{,}\left[\left[{2}{,}{4}{,}{6}\right]\right]\right\}\right)$ (1)

 See Also