Boundedness for finite subgroups of linear algebraic groups
نویسندگان
چکیده
We show the boundedness of finite subgroups in any anisotropic reductive algebraic group over a perfect field that contains all roots 1. Also, we provide explicit bounds for orders automorphism groups Severi-Brauer varieties and quadrics such fields.
منابع مشابه
Finite Subgroups of Algebraic Groups
0. Introduction 1105 1. Constructible families 1111 2. Genericity for finite subgroups 1116 3. Finite groups of Lie type 1119 4. Basic nonconcentration estimate 1122 5. Finite subgroups of abelian varieties 1126 6. Orders of conjugacy classes and centralizers 1127 7. Regular semisimple and unipotent elements 1129 8. Minimal unipotent elements 1134 9. Frobenius map 1140 10. Traces in the basic c...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2021
ISSN: ['2330-0000']
DOI: https://doi.org/10.1090/tran/8511