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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Bounds on the order of cross characteristic subgroups of the finite simple groups
of Lie type


Author: Tihomir Asparouhov
Journal: Proc. Amer. Math. Soc. 126 (1998), 3183-3189
MSC (1991): Primary 20E32
MathSciNet review: 1485457
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Abstract: Let $X(r)$ and $G(q)$ be finite groups of Lie type and $r$ and $q$ be coprime. If $G(q)$ is embedded in $X(r)$, then the Landazuri-Seitz-Zalesskii theorem implies that $G(q)$ is small relative to $X(r)$. We formalize this observation and illustrate how it can be used with some applications.


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Additional Information

Tihomir Asparouhov
Email: tihomir@cco.caltech.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04745-5
PII: S 0002-9939(98)04745-5
Received by editor(s): April 1, 1997
Communicated by: Ronald M. Solomon
Article copyright: © Copyright 1998 American Mathematical Society