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Results tagged with gr.group-theory
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user 428
Questions about the branch of algebra that deals with groups.
4
votes
Accepted
Conjugation in SU(2)
It's not hard to explicitly construct G using the quaternions, assuming P is not \pm Q, and I think this is worth working out in detail because I really like this picture of SU(2). Identify SU(2) wit …
- 6,589
12
votes
Accepted
Knot groups with big number of generators
If $\pi_1(S^3\setminus K)$ has a presentation with $n$ generators then its representation variety $\mathrm{Hom}(\pi_1(S^3\setminus K),SL_2(\mathbb{C}))$ is a subvariety of $(SL_2(\mathbb{C}))^n$, whic …
- 6,589
92
votes
Accepted
Is ${\rm S}_6$ the automorphism group of a group?
${\rm S}_6$ is not the automorphism group of a finite group.
See H.K. Iyer, On solving the equation Aut(X) = G, Rocky Mountain J. Math. 9 (1979), no. 4, 653--670, available online
here.
This paper pr …
- 6,589