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

This function determines whether two elements g1 and g2 of pg are conjugate to each other. If they are, then true is returned; otherwise false is returned.  It is required that g1 and g2 be elements of pg.

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

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

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

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

$\mathrm{true}$