Automorphisms of simple Chevalley groups over <I>Q</I>-algebras
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概要
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We show that a simple adjoint Chevalley group over a <I>Q</I>-algebra without zero divisors and its elementary subgroup have isomorphic automorphism groups which are generated by the inner automorphisms, the graph automorphisms and the ring automorphisms. This leads to an expression for every automorphism as the composite of a ring automorphism and an automorphism of an algebraic group, which is analogous to the Borel-Tits theorem and the Margulis theorem for the automorphisms of rational subgroups of algebraic groups over certain fields.
- 東北大学大学院理学研究科数学専攻の論文
東北大学大学院理学研究科数学専攻 | 論文
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