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

This function finds the derived subgroup $\left[\mathrm{pg}\,\mathrm{pg}\right]$ of the permutation group pg. The result is returned as an unevaluated permgroup call.

The command with(group,derived) allows the use of the abbreviated form of this command.

$\mathrm{with}\left(\mathrm{group}\right)\:$

$\mathrm{derived}\left(\mathrm{permgroup}\left(5\,\left\{\left[\left[1\,2\,3\,4\,5\right]\right]\,\left[\left[2\,5\right]\,\left[3\,4\right]\right]\right\}\right)\right)$

$\mathrm{permgroup}\left(5\,\left\{\left[\right]\,\left[\left[1\,3\,5\,2\,4\right]\right]\right\}\right)$