group(deprecated)/issubgroup - Maple Help

group(deprecated)

 issubgroup
 determine whether a permutation group is a subgroup of another permutation group

 Calling Sequence issubgroup(sg, pg)

Parameters

 sg, pg - two permgroups of the same degree

Description

 • Important: The group package has been deprecated. Use the superseding command GroupTheory[IsSubgroup] instead.
 • This function determines whether the permutation group sg is a subgroup of the permutation group pg. If it is, then true is returned; otherwise false is returned.
 • The command with(group,issubgroup) allows the use of the abbreviated form of this command.

Examples

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

 > $\mathrm{with}\left(\mathrm{group}\right):$
 > $\mathrm{pg}≔\mathrm{permgroup}\left(8,\left\{\left[\left[1,2\right]\right],\left[\left[1,2,3,4,5,6,7,8\right]\right]\right\}\right):$
 > $\mathrm{sg}≔\mathrm{permgroup}\left(8,\left\{\left[\left[1,2\right]\right],\left[\left[5,6\right]\right],\left[\left[1,2,3,4\right]\right],\left[\left[5,6,7,8\right]\right]\right\}\right):$
 > $\mathrm{issubgroup}\left(\mathrm{sg},\mathrm{pg}\right)$
 ${\mathrm{true}}$ (1)