What is a Commutator? - BYJU'S
What is a Commutator? Commutators are used in DC machines (DC motors and DC generators) universal motors. In a motor, a commutator applies an electric current to the windings. A steady …
What is a commutator - Mathematics Stack Exchange
The second way is to look at the commutator subgroup as a measure of how noncommutative a group is. A group is commutative if it has a trivial commutator subgroup (and highly noncommutative if the …
Confusion about commutators - Mathematics Stack Exchange
Feb 13, 2026 · The definition of a commutator as $ [A,B]=AB-BA$ refers to an algebra, where we have an additive and a multiplicative structure. The latter usually doesn't constitute a group.
Why is the commutator defined differently for groups and rings?
Jun 30, 2015 · The commutator of a group and a commutator of a ring, though similar, are fundamentally different, as you say. In each case, however, the commutator measures the "extent" to which two …
The commutator of two matrices - Mathematics Stack Exchange
The commutator of two matrices Ask Question Asked 9 years, 3 months ago Modified 9 years, 3 months ago
Commutator of $x$ and $p^2$ - Mathematics Stack Exchange
Commutator of $x$ and $p^2$ Ask Question Asked 12 years, 5 months ago Modified 8 years, 9 months ago
How to show that the commutator subgroup is a normal subgroup
The commutator subgroup is generated by commutators. Show that the property of "being a commutator" is invariant under conjuation (in fact it is invariant under all automorphisms).
Understanding the commutator subgroup of the dihedral group
@NizarHalloun: Terminology issue: A "commutator" is an element of a group. You are talking about the "commutator subgroup," which is the subgroup generated by commutators.
Solved In a DC motor, what is a commutator? A commutator is - Chegg
A commutator is a rotary switching device that rotates with the rotor and picks up current from a set of carbon brushes that are components of the stator assembly. Its function is to continuously change …
Commutator relationship proof $ [A,B^2] = 2B [A,B]$
Oct 7, 2012 · These are supposed to be quantum mechanics operators. Well, I was hoping to show algebraically that [A,B] must necessarily be something like a constant.