頁籤選單縮合
題 名 | Endotrivial Modules for Finite Group Schemes Ⅱ |
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作 者 | Carlson, Jon F.; Nakano, Daniel K.; | 書刊名 | Bulletin of the Institute of Mathematics, Academia Sinica New Series |
卷 期 | 7:2 2012.06[民101.06] |
頁 次 | 頁271-289 |
分類號 | 313.2 |
關鍵詞 | Cohomology; Endotrivial modules; Lifting module structures; |
語 文 | 英文(English) |
英文摘要 | It is well known that if G is a finite group then the group of endotrivial modules is finitely generated. In this paper we prove that for an arbitrary finite group scheme G, and for any fixed integer n > 0, there are only finitely many isomorphism classes of endotrivial modules of dimension n. This provides evidence to support the speculation that the group of endotrivial modules for a finite group scheme is always finitely generated. The result also has some applications to questions about lifting and twisting the structure of endotrivial modules in the case that G is an infinitesimal group scheme associated to an algebraic group. |
本系統中英文摘要資訊取自各篇刊載內容。