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Endotrivial Modules for Finite Groups of Lie Type A in Nondefining Characteristic

2015/04/03 by Jon F. Carlson, Jon Carlson, Nadia Mazza +4
Mathematics · #20C33 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #math.GR #msc:20C33

paper · pdf · doi:10.48550/arxiv.1504.00881

arxiv created 2015/04/03 · openalex publication_date 2015/04/03 · arxiv updated 2015/04/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G be a finite group such that SL(n,q)⊆ G ⊆ GL(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 Lie Type A, initiated earlier by the authors.

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