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Irreducible modules and parabolic subgroups

โœ Scribed by Stephen D. Smith


Book ID
103135658
Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
204 KB
Volume
75
Category
Article
ISSN
0021-8693

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Hyperbolic modules and cyclic subgroups
โœ Maria Loukaki ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 161 KB

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.