Extensions of Q_p of degree 2 and 3
碩士 === 國立臺灣師範大學 === 數學系 === 93 === It is well-known that for a p-adic field there exists only finite many extensions of a given degree. For a polynomial f with coefficients satisfying some conditions in Qp of given degree and let alpha be any root of f, we want to discuss the connection between coef...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Others |
| Language: | zh-TW |
| Published: |
2005
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| Online Access: | http://ndltd.ncl.edu.tw/handle/21511156095363742896 |
| Summary: | 碩士 === 國立臺灣師範大學 === 數學系 === 93 === It is well-known that for a p-adic
field there exists only finite many extensions of a given degree.
For a polynomial f with coefficients satisfying some conditions
in Qp of given degree and let alpha be any root of
f, we want to discuss the connection between coefficients of f
and types of extensions Qp(alpha). In this paper we
present a method for discussing the relation.
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