Groups in which the Commutator Operation Satisfies Certain Algebraic Conditions
Denote the commutator of two group elements a and b by
then the associative law for the commutator operation is
(a, b), c) = (a, (b,c)). (2)
If (2) is satisfied for every triplet of elements of a group, this group will be called an S group. If (2) is supposed to be satisfied whenever two of the elements a, b, c are equal (alternating law), then the group will be called an L-group.
- There are currently no refbacks.