The commutator lengths of the two groups are different.

The commutator subgroups of the two groups are isomorphic.

The commutator length of a group is the minimum number of commutators needed to express any element of the group.

The commutator subgroup of a group is the subgroup generated by all the commutators of the group.

She reverse-commutes to work every day.

Many people prefer reverse commutes because they are less crowded.

I prefer taking the reverse commute to avoid the heavy traffic in the morning.

She reverse-commuted to work every day.

I enjoy reverse-commuting to work every day.

She is a reverse commuter, traveling from the suburbs to the city for work.