group(deprecated)/mulperms - Maple Help

group(deprecated)

 mulperms
 multiply two permutations in disjoint cycle notation

 Calling Sequence mulperms(perm1, perm2)

Parameters

 perm1, perm2 - the permutations in disjoint cycle notation

Description

 • Important: The group package has been deprecated. Use the superseding command GroupTheory[PermProduct] instead.
 • The product is expressed in disjoint cycle notation.
 • The command with(group,mulperms) allows the use of the abbreviated form of this command.

Examples

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

 > $\mathrm{with}\left(\mathrm{group}\right):$
 > $\mathrm{mulperms}\left(\left[\left[2,3,4\right],\left[1,6\right]\right],\left[\left[4,6\right]\right]\right)$
 $\left[\left[{1}{,}{4}{,}{2}{,}{3}{,}{6}\right]\right]$ (1)

The following convention is used for the order of the multiplication: The product is the permutation obtained by first applying perm1, and then perm2. Therefore, the result of the following operation will not be [[2,3]] but [[1,3]].

 > $\mathrm{mulperms}\left(\left[\left[1,2\right]\right],\left[\left[1,2,3\right]\right]\right)$
 $\left[\left[{1}{,}{3}\right]\right]$ (2)