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Questions on group theory which concern finite groups.
2
votes
0
answers
89
views
explicit matrices for Weil ($p^2$ dimensional) representation of $Sp(4,\mathbb{F}_p)$, $p>3$
I am looking for more-or-less explicit matrices for the $p^2$ dimensional Weil representation of $Sp(4,\mathbb{F}_p)$, suitable for computer implementation. Ideally, I would like the images of the ge …
10
votes
The finite subgroups of SU(n)
Bit late with this but since I didn't see it above I will mention it: The paper by W. Feit MR0427449 (1970) says that finite linear groups up to dimension $7$ have been classified.
He has a list of p …
11
votes
1
answer
535
views
complexity of counting homomorphisms
This is a question I have thought about and asked a number of people, but have never got an answer beyond "It should be true that..."
Given a finitely generated group $G$ (eg. a link group $G_L:=\pi_ …