Endotrivial modules for finite groups of Lie type A in nondefining characteristic
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- 作者：Jon F. Carlson ; Nadia Mazza ; Daniel K. Nakano
- 刊名：Mathematische Zeitschrift
- 出版年：2016
- 出版时间：February 2016
- 年：2016
- 卷：282
- 期：1-2
- 页码：1-24
- 全文大小：573 KB
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Nadia Mazza (2)
Daniel K. Nakano (1)
1. Department of Mathematics, University of Georgia, Athens, GA, 30602, USA
2. Department of Mathematics and Statistics, University of Lancaster, Lancaster, LA1 4YF, UK - 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics
Mathematics - 出版者：Springer Berlin / Heidelberg
- ISSN：1432-1823
文摘
Let G be a finite group such that \(\mathop {{\text {SL}}}\nolimits (n,q)\subseteq G \subseteq \mathop {{\text {GL}}}\nolimits (n,q)\) and Z be a central subgroup of G. In this paper we determine the group T(G / Z) consisting of the equivalence classes of endotrivial k(G / Z)-modules where k is an algebraically closed field of characteristic p such that p does not divide q. The results in this paper complete the classification of endotrivial modules for all finite groups of (untwisted) Lie type A, initiated earlier by the authors. Jon F. Carlson: Research of the first author was supported in part by NSF grant DMS-1001102. Daniel K. Nakano: Research of the third author was supported in part by NSF grant DMS-1402271.