The <idele group> is
$$
\mathbb I_K=\prod_v'K_v^\times
=\left\{(x_v)_v:x_v\in\mathcal O_v^\times
\text{ for all but finitely many finite }v\right\},
$$
the restricted product with respect to the local unit groups.

Solution

Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 123 / 4 / 1 / b / Solution

 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2023/iii/paper-123/4/1/b/solution