Timeline for A structure on the groupoid of algebraic closures
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| Apr 10, 2020 at 2:33 | comment | added | Carl-Fredrik Nyberg Brodda | For Question 2, specifically what the automorphism group of Gal$(\overline{\mathbb{Q}} / \mathbb{Q})$ may be, you may be interested in [Kanno, Tsuneo Automorphisms of the Galois group of the algebraic closure of the rational number field. Kōdai Math. Sem. Rep. 25 (1973), 446–448.] and references therein. | |
| Apr 10, 2020 at 2:02 | comment | added | Asvin | Ctd: is just the profinite completion of Z so any automorphism is determined by sending 1 to any generator. For Q, maybe we can get some mileage out of the fact that automorphisms have to preserve | |
| Apr 10, 2020 at 2:00 | comment | added | Asvin | The galois group over a finite field is just Z | |
| Apr 10, 2020 at 1:52 | comment | added | LSpice | If I understand your Question 1 properly, you're describing the property that every element has the 'same' automorphism group. Doesn't every connected groupoid have this property? | |
| Apr 10, 2020 at 1:12 | history | edited | YCor |
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| Apr 10, 2020 at 1:05 | review | First posts | |||
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| Apr 10, 2020 at 1:04 | history | asked | user155952 | CC BY-SA 4.0 |