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group(deprecated)

 isabelian
 determine whether a permutation group is abelian

 Calling Sequence isabelian(pg)

Parameters

 pg - given permutation group to be tested

Description

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

Examples

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

 > $\mathrm{with}\left(\mathrm{group}\right):$
 > $\mathrm{pg}≔\mathrm{permgroup}\left(8,\left\{\left[\left[1,2\right]\right],\left[\left[1,2,3,4,5,6,7,8\right]\right]\right\}\right):$
 > $\mathrm{pg2}≔\mathrm{permgroup}\left(8,\left\{\left[\left[1,2\right]\right],\left[\left[3,4\right]\right]\right\}\right):$
 > $\mathrm{isabelian}\left(\mathrm{pg}\right)$
 ${\mathrm{false}}$ (1)
 > $\mathrm{isabelian}\left(\mathrm{pg2}\right)$
 ${\mathrm{true}}$ (2)