Generation of finite groups of Lie type
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- by Gary M. Seitz PDF
- Trans. Amer. Math. Soc. 271 (1982), 351-407 Request permission
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.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 271 (1982), 351-407
- MSC: Primary 20D05; Secondary 20E36
- DOI: https://doi.org/10.1090/S0002-9947-1982-0654839-1
- MathSciNet review: 654839