Finite groups of Seitz type
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- by Michael Aschbacher PDF
- Proc. Amer. Math. Soc. 142 (2014), 113-120 Request permission
Abstract:
We show that a useful condition of Seitz on finite groups of Lie type over fields of order $q>4$ is often satisfied when $q$ is $2$ or $3$. We also observe that various consequences of the Seitz condition, established by Seitz and Cline, Parshall, and Scott when $q>4$, also hold when $q$ is $3$ or $4$.References
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Additional Information
- Michael Aschbacher
- Affiliation: Department of Mathematics, California Institute of Technology, Pasadena, California 91125
- MR Author ID: 27630
- Received by editor(s): February 23, 2012
- Received by editor(s) in revised form: March 7, 2012, and March 9, 2012
- Published electronically: October 4, 2013
- Additional Notes: This work was partially supported by NSF grants DMS-0504852 and DMS-0969009
- Communicated by: Pham Huu Tiep
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 142 (2014), 113-120
- MSC (2010): Primary 20D05, 20E42
- DOI: https://doi.org/10.1090/S0002-9939-2013-11752-1
- MathSciNet review: 3119186