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Community Bot
Community Bot
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Given a galois extension of number fields $L/K$ of even degree, set $n_0=\text{lcm} (\{[L_v:K_v] : v \in M_K \})$ ($L_v$ is any completion corresponding to a place dividing $v$).

Does $2$ divide $n_0$?

This comes up in this questionthis question.

Given a galois extension of number fields $L/K$ of even degree, set $n_0=\text{lcm} (\{[L_v:K_v] : v \in M_K \})$ ($L_v$ is any completion corresponding to a place dividing $v$).

Does $2$ divide $n_0$?

This comes up in this question.

Given a galois extension of number fields $L/K$ of even degree, set $n_0=\text{lcm} (\{[L_v:K_v] : v \in M_K \})$ ($L_v$ is any completion corresponding to a place dividing $v$).

Does $2$ divide $n_0$?

This comes up in this question.

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Dror Speiser
Dror Speiser
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Can an even degree galois extension complete p-adically to an even galois extension

Given a galois extension of number fields $L/K$ of even degree, set $n_0=\text{lcm} (\{[L_v:K_v] : v \in M_K \})$ ($L_v$ is any completion corresponding to a place dividing $v$).

Does $2$ divide $n_0$?

This comes up in this question.