Timeline for Minimal index of number fields of small degree
Current License: CC BY-SA 4.0
2 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 6, 2018 at 21:28 | comment | added | Zack Wolske | The usual index of an element will be $\sqrt{\text{disc}(\mathbb{Z}[a])/\text{disc}(\mathcal{O}_K)}$. @alpoge By Minkowski arguments, this is bounded above by $|\text{disc}(\mathcal{O}_K)|^{(d-2)/2}$, with some improvements when d=3 or 5, see "Algebraic Integers with Small Discriminant" by Thunder and Wolfskill. | |
| Dec 6, 2018 at 18:08 | history | asked | Stanley Yao Xiao | CC BY-SA 4.0 |