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Dec
1 |
awarded | Famous Question |
Jul
8 |
comment |
Union of conjugates of a subgroup
I think for abelian groups there's no hope since the minimal submonoid containing the complement is the full group. |
Jul
7 |
comment |
Coherent sheaves and Mitchell's embedding theorem
Edited the question following abx suggestion. |
Jul
7 |
revised |
Coherent sheaves and Mitchell's embedding theorem
added 117 characters in body; edited title |
Jul
7 |
comment |
Coherent sheaves and Mitchell's embedding theorem
@abx you're right, should I edit the question? |
Jul
7 |
asked | Coherent sheaves and Mitchell's embedding theorem |
Jul
2 |
awarded | Curious |
Mar
22 |
awarded | Nice Question |
Sep
15 |
awarded | Nice Question |
Jun
12 |
awarded | Popular Question |
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. |
May
6 |
awarded | Yearling |
May
6 |
comment |
Galois group of constructible numbers
Thanks for pointing me to this bibliography, I have a lot to read now. |
May
6 |
comment |
Galois group of constructible numbers
Thanks @Chandan Singh Dalawat and @François Brunault for your enlightening comments. |
May
6 |
accepted | Galois group of constructible numbers |
May
6 |
awarded | Nice Question |
May
6 |
awarded | Commentator |
May
6 |
revised |
Galois group of constructible numbers
added detail; added 170 characters in body |
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. |
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 $\mathbb{Z}/4\mathbb{Z}$ |