group(deprecated)/derived - Maple Help

group(deprecated)

 derived
 Find the derived subgroup of a permutation group

 Calling Sequence derived(pg)

Parameters

 - group in which the derived subgroup is to be found

Description

 • 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.

Examples

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

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