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。

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.

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

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