Cyclic Extension with a Specific Inert Prime
碩士 === 國立臺灣師範大學 === 數學系 === 96 === Given a prime number p and an arbitrary nature number n, we discuss how to construct a degree-n cyclic extension E/Q such that pZ is inert. When 8 divides n, we prove that there is no degree-n cyclic extension E over Q such that 2Z is inert in E....
| Main Authors: | , |
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| Other Authors: | |
| Format: | Others |
| Language: | en_US |
| Published: |
2008
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| Online Access: | http://ndltd.ncl.edu.tw/handle/r87m75 |