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 …
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 …
What is the function of commutator? Physics Q&A - BYJU'S
The function of a commutator. The commutator ring of an electric motor reverses the direction of current flowing through the coil every time the coil barely reaches the vertical position during a …
The commutator of two matrices - Mathematics Stack Exchange
The commutator of two matrices Ask Question Asked 9 years, 2 months ago Modified 9 years, 2 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).
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 …
abstract algebra - Commutator relationship proof $ [A,B^2] = 2B …
I'm trying to find the condition necessary for this commutator relationship equality: $$[A,B^2]=2B[A,B]$$ So far I've done this: \\begin{align*} [A,B^2] & = B[A,B ...
What is commutator? Physics Q&A - BYJU'S
A commutator is a piece of equipment linked to the armature of such a motor as well as a dynamo that makes an electrical linkage as well as guarantees the amount of current flowing via direct …
Commutator of $p^2$ and $x$ - Mathematics Stack Exchange
Jan 23, 2020 · 1 Writing in more details, the commutator relation is [p, x] = −iℏI [p, x] = i ℏ I where I I is the identity operator. So piℏ p i ℏ should be understood as piℏI p i ℏ I, the composition of …
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.