Cristos A. Ruiz
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Registered User
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PhD student. I work on non-commutative Iwasawa Theory.
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May 13 |
comment |
Diameter-area ratio for affine tranformations. I guess $F$ must have positive area. This is trivialy false if $F$ is a line segment. |
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May 6 |
awarded | ● Yearling |
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May 6 |
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Galois group of constructible numbers Thanks for pointing me to this bibliography, I have a lot to read now. |
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May 6 |
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Galois group of constructible numbers Thanks @Chandan Singh Dalawat and @François Brunault for your enlightening comments. |
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May 6 |
awarded | ● Nice Question |
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May 6 |
awarded | ● Commentator |
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May 6 |
revised |
Galois group of constructible numbers added detail; added 170 characters in body |
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May 6 |
comment |
Galois group of constructible numbers @Brunault so (correct me if I'm wrong) it must contain the field generated by the Tate module $T_2(A)$ for every abelian variety $A$ of dimension $2n$ such that the Galois group is $\mathrm{GL}_{2n}(\mathbb{Z}_2)$. That looks like a nice result. |
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May 6 |
comment |
Galois group of constructible numbers @Chandan Singh Dalawat Yes, in fact $\mathrm{Gal}(K_{n+1}/K_n)$ is isomorphic to a countable product of copies of the group of order two. But already $\mathrm{Gal}(K_2/K_0)$ seems difficult to me, it properly contains the field $K_0(\sqrt[4]{K_0})$ which has Galois group over $K_0$ isomorphic to the semidirect product of $\mathbb{Z}/2\mathbb{Z}$ by a countable product of copies of $\mathbb{Z}/4\mathbb{Z}$ |
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May 6 |
revised |
A characterization of convexity corrected spelling |
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May 6 |
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Galois group of constructible numbers I should have written complex numbers instead of lengths since length does mean positive real numbers, I just edited accordingly. I meant to include all those numbers, the last paragraph wouldn't be right with my original definition of $\mathcal{C}$. |
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May 6 |
revised |
Galois group of constructible numbers corrected a mistake in the formulation of the question |
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May 6 |
asked | Galois group of constructible numbers |
