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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/805| Title: | 有限特殊線性群的特徵標 On characters of finite special linear groups in non-defining characteristic |
| Authors: | Hung-You Chen 陳鴻猷 |
| Advisor: | 于靖(Jing Yu) |
| Keyword: | 有限特殊線性群,模表現論,群論,分解矩陣,有限一般線性群, finite special linear group,modular representation,group theory,decomposition matrix,finite general linear group, |
| Publication Year : | 2019 |
| Degree: | 碩士 |
| Abstract: | 本文討論置換群與有限一般線性群的分解矩陣的各種性質，分析不同性質之間的關係，並證明當特徵 p 不整除 q 時，有限特殊線性群亦擁有 (C, p)-性質。 In this thesis, we consider some properties of decomposition matrices of symmetric groups and finite general linear groups in non-defining characteristic, clarify the relations among these properties, and show that SL(n, q) has an analogue property to Sym(n) and GL(n, q) in non-defining characteristic, namely the (C, p)-property. |
| URI: | http://tdr.lib.ntu.edu.tw/handle/123456789/805 |
| DOI: | 10.6342/NTU201904116 |
| Fulltext Rights: | 同意授權(全球公開) |
| Appears in Collections: | 數學系 |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| ntu-108-1.pdf | 1.83 MB | Adobe PDF | View/Open |
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