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Questions about the branch of algebra that deals with groups.
10
votes
Homomorphism from $\hat{\mathbb{Z}}$ to $\mathbb{Z}$
Let $\phi$ be such a homomorphism, on additive groups $\hat Z\rightarrow Z$. Write $(\vec x,\vec y)\in\hat Z$ for the element that is $x$ on primes that are 1 mod 3, and $y$ on primes that are 2 mod 3 …
5
votes
What are the maximal subgroups of GSp(2g,l)?
"I expect a classification for general g to be longer, but maybe its managable when g = 2?"
The Experimental Mathematics paper of Dieulefait for g=2 uses this. He quotes Mitchell from 1914.
http://w …
2
votes
Universal cover of SL2(R) admits no central extensions?
Non-answer I: just a reference for the difference between topological and abstract groups: I think the first part of Chapter I of the above Moore reference addresses the question, but I'm not sure it …
5
votes
What are some interesting corollaries of the classification of finite simple groups?
I have a few comments, but will make this an answer due to length, and I just got a brainstorm of a real answer anyhow. I've now rewritten this to more answer the question: how does the Classification …