Endotrivial modules for the sporadic simple groups and their covers

• Caroline Lassueur ^[1] ; Nadia Mazza ^[2]
  1. [1] University of Kaiserslautern

     University of Kaiserslautern

     Kreisfreie Stadt Kaiserslautern, Alemania

     
  2. [2] Lancaster University

     Lancaster University

     Lancaster, Reino Unido

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 9 (September 2015), 2015, págs. 4203-4228
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2015.02.014
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• Resumen

  • In a step towards the classification of endotrivial modules for quasi-simple groups, we investigate endotrivial modules for the sporadic simple groups and their covers. A main outcome of our study is the existence of torsion endotrivial modules with dimension greater than 1 for several sporadic groups with p-rank greater than 1.