On the structure of the character ring of a finite group 有限群の指標環の構造について
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Bibliographic Information
- Title
-
On the structure of the character ring of a finite group
- Other Title
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有限群の指標環の構造について
- Author
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山内, 憲一
- Author(Another name)
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ヤマウチ, ケンイチ
- University
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九州大学
- Types of degree
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博士 (数理学)
- Grant ID
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乙第6139号
- Degree year
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1996-02-21
Note and Description
博士論文
Chapter1.On the units of a finite order in a character ring Chapter2.A unit group in a character ring of an alternating group Chapter3.On isomorphisms of a Brauer character ring onto another Chapter4.On automorphisms of a character ring
数理
Table of Contents
- Contents / (0003.jp2)
- Introduction / p1 (0004.jp2)
- Chapter1.On the units of a finite order in a character ring / p1 (0008.jp2)
- §1.Introduction / p1 (0008.jp2)
- §2.A study of units of finite order / p3 (0010.jp2)
- Chapter2.A unit group in a character ring of an alternating group / p5 (0012.jp2)
- §1.Introduction / p5 (0012.jp2)
- §2.Preliminaries / p7 (0014.jp2)
- §3.Construction of unit elements / p12 (0019.jp2)
- §4.Units in R(An)(n≥5) / p17 (0024.jp2)
- §5.Some examples / p25 (0032.jp2)
- Chapter3.On isomorphisms of a Brauer character ring onto another / p29 (0036.jp2)
- §1.Introduction / p29 (0036.jp2)
- §2.Preliminaries / p31 (0038.jp2)
- §3.Main theorems / p36 (0043.jp2)
- Chapter4.On automorphisms of a character ring / p40 (0047.jp2)
- §1.Introduction / p40 (0047.jp2)
- §2.Proof of Theorem1.2 / p42 (0049.jp2)
- References / p45 (0052.jp2)