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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/74627完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 陳其誠(Ki-Seng Tan) | |
| dc.contributor.author | Yen-Chao Chiu | en |
| dc.contributor.author | 邱彥超 | zh_TW |
| dc.date.accessioned | 2021-06-17T08:46:34Z | - |
| dc.date.available | 2019-08-07 | |
| dc.date.copyright | 2019-08-07 | |
| dc.date.issued | 2019 | |
| dc.date.submitted | 2019-08-06 | |
| dc.identifier.citation | [1] K.W. Gruenberg, A. Weiss, ”Capitulation and Transfer Kernels,” Journal de Theorie des Nombres de Bordeaux 12 (2000), 219-226.
[2] N. Jacobson, 'Basic Algebra,” 2 (2nd ed.), 2009, Dover. [3] S. Lang, ”Algebraic Number Theory,” Second Edition, 1994, Springer. [4] S. Lang, ”Algebra”, revised third edition, Springer. [5] T.Y. Lam ”Lectures on Modules and Rings,” 1999, Springer. [6] J.S. Milne, ”Class Field Theory,” Version 4.02 (2013). [7] Andrew Sutherland, ”Lecture Notes of Number Theory I,” MIT course 18.785 Number Theory I, Fall 2015. [8] H. Suzuki, “A generalization of Hilbert’s Theorem 94,“ Nagoya Math. J., 121 (1991), 161-169. [9] C. A. Weibel ”An Introduction to Homological Algebra,” 1994, Cambridge University Press. [10] E. Weiss, ”Cohomology of Groups,” 1969, Academic Press. [11] K.W. Gruenberg, A. Weiss ”Galois invariants for units,” Proc. London Math, Soc. 70(1995),264-284. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/74627 | - |
| dc.description.abstract | 這篇論文用上同調群的方法，研究一個由鈴木博史證明、關於變異內核定理的廣義版本，主理想定理與希爾伯特94號定理都是其推論。這篇論文的主要結果為描述所有變換內核。 | zh_TW |
| dc.description.abstract | This paper studies via cohomology techniques a generalized version of a Theorem by H. Suzuki on capitulation kernel which implies principal ideal theorem and Hilbert’s theorem 94. The main result of this paper is a characterization of all transfer kernels. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-17T08:46:34Z (GMT). No. of bitstreams: 1 ntu-108-R03221007-1.pdf: 922206 bytes, checksum: 8b5deb9801a47e6628071a95d567ac65 (MD5) Previous issue date: 2019 | en |
| dc.description.tableofcontents | 口試委員會審定書... i
誌謝... ii 中文摘要... iii 英文摘要... iv 第一節 INTRODUCTION...1 第二節 HILBERT CLASS FIELD...4 第三節 VERLAGERUNG...7 第四節 CAPITULATION AND TRANSFER KERNEL...10 第五節 GROUP EXTENSION AND G -ACTIONS...11 5.1G-actions...11 第六節 REVIEW OF GROUP COHOMOLOGY AND GROUP REPRESENTATION...15 6.1 Group Cohomology...15 6.2 Group Representation...19 第七節 TRANSFER KERNEL...21 7.1 The Condition Of Cohomology...21 7.2 Equivalent Statements...24 第八節 THE MAIN THEOREM...35 參考文獻...38 | |
| dc.language.iso | en | |
| dc.subject | 變異內核 | zh_TW |
| dc.subject | 轉換內核 | zh_TW |
| dc.subject | 泰特上同調代數 | zh_TW |
| dc.subject | 鈴木定理 | zh_TW |
| dc.subject | 主理想定理 | zh_TW |
| dc.subject | Capitulation Kernel | en |
| dc.subject | Principal Ideal Theorem | en |
| dc.subject | Suzuki’s Theorem | en |
| dc.subject | Transfer Kernel | en |
| dc.subject | Tate Cohomology | en |
| dc.title | 變異內核和轉移內核 | zh_TW |
| dc.title | Capitulations and Transfers | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 107-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 王藹農(Ai-Nung Wang),紀文鎮(Wen-Chen Chi) | |
| dc.subject.keyword | 變異內核,轉換內核,泰特上同調代數,鈴木定理,主理想定理, | zh_TW |
| dc.subject.keyword | Capitulation Kernel,Transfer Kernel,Tate Cohomology,Suzuki’s Theorem,Principal Ideal Theorem, | en |
| dc.relation.page | 38 | |
| dc.identifier.doi | 10.6342/NTU201902579 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2019-08-06 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 數學研究所 | zh_TW |
| 顯示於系所單位： | 數學系 | |
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