Similar question: Using Silverlight for an entire website?

That question is over 2 years old. Silverlight has gone a long way from Silverlight 1.0 Beta 1 to Silverlight 4.0 Final. Would it be practical to create a full Silverlight web application these days? I plan to deploy the website sometime around Q1 2011. 

I have thought about going ASP.NET + AJAX way, but it just won't give me the same rich features as Silverlight.

A lot of people when they hear ASP.NET or Silverlight instantly think about business or enterprise applications. But all I want to create is a fansite, with rich user interface and a great "WOW" factor.


Question: Isomorphism between quotient groups with normal subgroups
Answer: This only holds if $ψ^{-1}(H_2)=H_1$, then use the isomorphism theorem:

$G_1 \to G_2 \to G_2/H_2$ is surjective. The kernel of the composition is then $H_1$. Now apply the isomorphism theorem and you're done.

Otherwise you could take for example $Z\times Z \to Z$ by $(1,1)\mapsto 1$ then the kernel is generated by $(1,-1)$ and you could take $H_1 = 0 \times Z$, but $Z \neq 0$.