$R$-equivalence in adjoint classical groups over fields of virtual cohomological dimension $2$
نویسندگان
چکیده
منابع مشابه
Finiteness of R-equivalence Groups of Some Adjoint Classical Groups of Type
Let F be a field of charateristic different from 2. We construct families of adjoint groups G of type D3 defined over F (but not over k) such that G(F )/R is finite for various fields F which are finitely generated over their prime subfield. We also construct families of examples of such groups G for which G(F )/R ≃ Z /2Z when F = k(t), and k is (almost) arbitrary. This gives the first examples...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2008
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-07-04300-0