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Meta
Tag Archives: SL(2)
The inverse Galois challenge
I learnt a few days ago about the following AI challenge: find polynomials with Galois group \(G\) for each of the transitive subgroups of \(S_{24}\), with each of the possible signatures \((r_1,r_2)\) with \(r_1 + 2r_2 = 24\) where \(r_1\) … Continue reading
Posted in Uncategorized
Tagged complex conjugation, David Roberts, Inverse Galois Problem, Involutions, John Jones, LMFDB, PSL(2), Raymond van Bommel, Simple Groups, SL(2), SMRI, Terry Tao
3 Comments
Inverse Galois Problem
My favourite group as far as the inverse Galois problem goes is \(G = \mathrm{SL}_2(\mathbf{F}_p)\). This is not known to be a Galois group over \(\mathbf{Q}\) for any \(p > 13\), the difficulty of course being that is must correspond … Continue reading
Posted in Mathematics
Tagged David Zywina, Galois Representations, Inverse Galois Problem, PSL(2), SL(2)
10 Comments