Cyclotomic units and central extensions of function fields = 함수체의 원분 단위원과 중앙 확장

In this paper, we study two topics related to the arithmetic of cyclotomic function field; one is a construction of base for cyclotomic units and the other is central extension and Hasse norm principle. In section 2.1, we construct a base for the universal punctured even distribution. In section 2.2, we obtaine a base for the cyclotomic units. In section 3.1, we introduce genus fields and central extensions over function field and their Galois groups and degrees. In section 3.2, we describe several criterion for the validity of Hasse norm principle. In section 3.3 and 3.4, we characterize the validity of Hasse norm principle for cyclotomic function field and their maximal real subfields. In chapter 4, we investigate l-divisibility of ideal class number of cyclotomic function field and their maximal real subfields.
Advisors
Bae, Sung-Hanresearcher배성한researcher
Publisher
한국과학기술원
Issue Date
2001
Identifier
166352/325007 / 000965371
Language
eng
Description

학위논문(박사) - 한국과학기술원 : 수학전공, 2001.2, [ [ii], 53 p. ]

Keywords

중앙확장; 함수체; Cyclotomic units; 원분단위원; Function field; Central extension

URI
http://hdl.handle.net/10203/41831
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=166352&flag=t
Appears in Collection
MA-Theses_Ph.D.(박사논문)
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