Let be a finite permutation group acting on a set .

More formally, let G be a permutation group of order m and degree n.

He continues to research into permutation groups and model theory.

Then the full symmetry need only contain the permutation group of spacetime events.

The first class of groups to undergo a systematic study was permutation groups.

In many cases, the structure of a permutation group can be studied using the properties of its action on the corresponding set.

Lagrange also contributed in 1771 with his work on permutation groups.

Several 3-transposition groups are rank-3 permutation groups (in the action on transpositions).

They are all subgroups of M, which is a permutation group on 24 points.

Its homography group is the permutation group on these three.