ronggang

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Name ronggang
Member for 2 years
Seen May 2 at 3:12
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Location China
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Lie groups, algebraic groups, arithmetic groups, ergodic theory
Apr
23
asked arithmetic group over function fields and its fundamental domain
Mar
28
comment local field and number field
I see. Thank you.
Mar
28
comment local field and number field
Krasner's Lemma can be used to prove that every local field of characteristic zero comes from completion of a number field. Therefore it answers the question.
Mar
28
comment local field and number field
It is known that a local field of characteristic zero is a finite extension of $Q_2$. This why I said that $K*/(K^*)^2$ has order 1,2,4 or 8 is incorrect. The question is whether the order argument is true for local fields coming from completions of number field? If every local field comes from the completion of a number field, then of course the order argument is incorrect.
Mar
28
revised local field and number field
I specified what I mean by local field
Mar
28
asked local field and number field