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Ray class group

If $U_{\mathfrak m,1}$ consists of units congruent to one modulo $\mathfrak m_0$ and positive at the selected real places, then
$$
|\operatorname{Cl}_{\mathfrak m}(K)|
=h_K\frac{2^{|\mathfrak m_\infty|}N\mathfrak m_0\prod_{\mathfrak p\mid\mathfrak m_0}(1-N\mathfrak p^{-1})}
{[\mathcal O_K^\times:U_{\mathfrak m,1}]}.
$$


Ray class number formula

Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 123 / 1 / c / Solution

Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 123 / 1 / e / Solution

Ray class number formula

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Ray class number formula

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