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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Generation of finite groups of Lie type


Author: Gary M. Seitz
Journal: Trans. Amer. Math. Soc. 271 (1982), 351-407
MSC: Primary 20D05; Secondary 20E36
MathSciNet review: 654839
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Abstract: Let $ p$ be an odd prime and $ G$ a finite group of Lie type in characteristic other than $ p$. Fix an elementary abelian $ p$-subgroup of $ \operatorname{Aut} (G)$. It is shown that in most cases $ G$ is generated by the centralizers of the maximal subgroups of $ E$. Results are established concerning the notions of layer generation and balance, and the strongly $ p$-embedded subgroups of $ \operatorname{Aut} (G)$ are determined.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1982-0654839-1
PII: S 0002-9947(1982)0654839-1
Article copyright: © Copyright 1982 American Mathematical Society