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REGULAR ORBITS OF COPRIME LINEAR GROUPS IN LARGE CHARACTERISTIC
Published online by Cambridge University Press: 02 May 2017
Abstract
We prove that a finite coprime linear group $G$ in characteristic $p\geq \frac{1}{2}(|G|-1)$ has a regular orbit. This bound on $p$ is best possible. We also give an application to blocks with abelian defect groups.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 96 , Issue 3 , December 2017 , pp. 438 - 444
- Copyright
- © 2017 Australian Mathematical Publishing Association Inc.