commutator
m21k In mathematics, the commutator of two elements g and h of a group G with *, the operator (binary Operation) on G is the element g-1*h-1*g*h, often denoted by [g,h], where g-1 is the inverse of g and h-1 inverse of h.

[g, h] is equal to the group's identity if and only if g and h commute, i.e., if and only if g*h = h*g.
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. iLink:- Group

http://mathworld.wolfram.com/Group.html
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kx21 Definition:- element

M_Species of "Observables"...
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