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...

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Main Authors: Huei Jeng Chen, 陳慧錚
Other Authors: Hua-Chieh Li
Format: Others
Language:zh-TW
Published: 2005
Online Access:http://ndltd.ncl.edu.tw/handle/21511156095363742896
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spelling ndltd-TW-093NTNU54790052016-06-03T04:13:42Z http://ndltd.ncl.edu.tw/handle/21511156095363742896 Extensions of Q_p of degree 2 and 3 在Q_p上維度為2和3的體擴張 Huei Jeng Chen 陳慧錚 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. Hua-Chieh Li 李華介 2005 學位論文 ; thesis 45 zh-TW
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language zh-TW
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description 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.
author2 Hua-Chieh Li
author_facet Hua-Chieh Li
Huei Jeng Chen
陳慧錚
author Huei Jeng Chen
陳慧錚
spellingShingle Huei Jeng Chen
陳慧錚
Extensions of Q_p of degree 2 and 3
author_sort Huei Jeng Chen
title Extensions of Q_p of degree 2 and 3
title_short Extensions of Q_p of degree 2 and 3
title_full Extensions of Q_p of degree 2 and 3
title_fullStr Extensions of Q_p of degree 2 and 3
title_full_unstemmed Extensions of Q_p of degree 2 and 3
title_sort extensions of q_p of degree 2 and 3
publishDate 2005
url http://ndltd.ncl.edu.tw/handle/21511156095363742896
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AT chénhuìzhēng zàiqpshàngwéidùwèi2hé3detǐkuòzhāng
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