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| | The First Isomorphism Theorem The meat of our last primer was a proof that quotient groups are well-defined. One important result that helps us compute groups is a very easy consequence of this well-definition. Recall that if $ G,H$ are groups and $ \varphi: G \to H$ is a group homomorphism, then the image of $ \varphi$ is a subgroup of $ H$. Also the kernel of $ \varphi$ is the normal subgroup of $ G$ consisting of the elements which are mapped to the identity under $ \varphi$.
| | a3nm.net
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| | List of open questions
| | 0fps.net
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| | (This is the sequel to the following post on SmoothLife. For background information go there, or read Stephan Rafler's paper on SmoothLife here.) Last time, we talked about an interesting generalization of Conway's Game of Life and walked through the details of how it was derived, and investigated some strategies for discretizing it. Today, let's...
| | craftofcoding.wordpress.com
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