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

The function returns a set of permutations corresponding to the elements of the permutation group represented by pg or gens.

When the parameter pg is used, the function returns the elements of pg.

When the parameter gens is used, the function returns the elements of the permutation group generated by gens.

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

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

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

$\mathrm{elements}\left(\mathrm{pg}\right)$

$\left\{\left[\right]\,\left[\left[1\,2\right]\,\left[3\,4\right]\right]\,\left[\left[1\,3\right]\,\left[2\,4\right]\right]\,\left[\left[1\,4\right]\,\left[2\,3\right]\right]\right\}$

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

$\left\{\left[\right]\,\left[\left[1\,2\right]\,\left[3\,4\right]\right]\,\left[\left[1\,3\right]\,\left[2\,4\right]\right]\,\left[\left[1\,4\right]\,\left[2\,3\right]\right]\right\}$