Hyperbolic modules and cyclic subgroups

✍ Scribed by Maria Loukaki

• Book ID: 104140765
• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 161 KB
• Volume: 266
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1016/s0021-8693(03)00309-0

✦ Synopsis

Let G be a finite group of odd order, F a finite field of odd characteristic p, and B a finitedimensional symplectic FG-module. We show that B is FG-hyperbolic, i.e., it contains a selfperpendicular FG-submodule, iff it is FN-hyperbolic for every cyclic subgroup N of G.