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- What is a Commutator? - BYJUS
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 rotating torque is produced by reversing the current direction in the rotating windings each half turn In a generator, the commutator reverses the current direction with each turn serving as a mechanical
- Why is the set of commutators called commutator subgroup?
Thus, G′ G, the commutator subgroup, is the smallest part of G G that needs to be killed in order to turn G G into a commutative group Hence G′ G 'commutates' G G (Proving this subgroup exists, without using any commutators, is a nice little exercise)
- 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 commutator subgroup is the entire group)
- What good is the Commutator product? - Mathematics Stack Exchange
The commutator product is mainly used in the context of multiplication by a bivector In particular, the commutator product of a bivector with a k k -vector is always a k k -vector
- 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?
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 elements fail to commute
- differential geometry - Commutativity of $\nabla$ and $\Delta . . .
So I would appreciate it if someone could work through the computation (or perhaps share a reference) for the commutator [∇, Δ] [∇, Δ] involving the curvature terms
- Commutator of $x$ and $p^2$ - Mathematics Stack Exchange
Commutator of x x and p2 p 2 Ask Question Asked 11 years, 9 months ago Modified 8 years, 1 month ago
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