Quantum mechanics

Algebraic number

Pure mathematics

Discrete mathematics

Normal subgroup

Associative property

Physics

Mathematics

Mathematical analysis

Combinatorics

Commutator subgroup

Group (periodic table)

Lie conformal algebra

Algebra over a field

Commutator

Journal of the Indian Mathematical Society

Denote the commutator of two group elements a and b by null aba -1 b -1 =(a,b) null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null (1) null then the associative law for the commutator operation is null  (a, b), c) = (a, (b,c)). null null null null null null null null null null null null null null null null null null null null null null null null null  (2) null 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.

Groups in which the Commutator Operation Satisfies Certain Algebraic Conditions