Recent content by Indran

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    How Does Moving with Velocity Affect Charge and Current Densities?

    Homework Statement The planes x= ±a are charged to uniform surface density ±σ respectively. Find the charge and current densities in a frame moving with velocity (0,v,0) - [done] Find also the electromagnetic field in the moving frame by solving the problem in the moving frame...
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    Finding Surjective Homomorphisms from Symmetric Groups to Cyclic Groups

    Groups Thanks for the clear reply. Yes, I looked up the Isomorphism theorem and now can understand what you are saying. The question does ask for *all* r for some n that will give a homomorphism from S_n to C_r. How can this be done?
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    Finding Surjective Homomorphisms from Symmetric Groups to Cyclic Groups

    Groups Well, on the face of it. since r>n I would have said that therecannot be a surjective relationship, but if say, S_3 ={1 2 3} and C_4 (thus r>n) is {e, a, a^2, a^3} the order of S_3 is 3! = 6 and the order of C_4 is 4 so there could be a surjective homomorphism. I am stuck at this...
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    Finding Surjective Homomorphisms from Symmetric Groups to Cyclic Groups

    Hello, I am having difficulty with the following problem in Group theory: How do you positive integers r such that there is a surjective homomorphism from S_n (This is the symmetric group of order n) to C_r (This is the cyclic group order r) for some n ? I am not sure where to even start...
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