Classification of 2F-modules, I

✍ Scribed by Robert M. Guralnick; Gunter Malle

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 219 KB
• Volume: 257
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1016/s0021-8693(02)00526-4

✦ Synopsis

We classify the 2F-modules for nearly simple groups, excluding the case of modules for groups of Lie type in their defining characteristic. We also show that for all such modules there exists an offender with cubic action. These modules play a crucial role in the current revisions of the classification of the finite simple groups.