The maximal subgroups of positive dimension in exceptional algebraic groups
著者
書誌事項
The maximal subgroups of positive dimension in exceptional algebraic groups
（Memoirs of the American Mathematical Society, no. 802）
American Mathematical Society, 2004
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注記
"Volume 169, number 802 (third of 4 numbers)"
Includes bibliographical references (p. 225-227)
内容説明・目次
内容説明
In this paper, we complete the determination of the maximal subgroups of positive dimension in simple algebraic groups of exceptional type over algebraically closed fields. This follows work of Dynkin, who solved the problem in characteristic zero, and Seitz who did likewise over fields whose characteristic is not too small. A number of consequences are obtained. It follows from the main theorem that a simple algebraic group over an algebraically closed field has only finitely many conjugacy classes of maximal subgroups of positive dimension. It also follows that the maximal subgroups of sufficiently large order in finite exceptional groups of Lie type are known.
目次
Introduction Preliminaries Maximal subgroups of type $A_1$ Maximal subgroups of type $A_2$ Maximal subgroups of type $B_2$ Maximal subgroups of type $G_2$ Maximal subgroups $X$ with rank$(X)\geq3$ Proofs of Corollaries 2 and 3 Restrictions of small $G$-modules to maximal subgroups The tables for Theorem 1 and Corollary 2 Appendix: $E_8$ structure constants References.
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