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- W2283065716 abstract "Let G be an absolutely simple simply connected algebraic group over a global field k. In this note, we analyze arithmetic properties of the maximal k-tori of G .We establish density (in the variety of maximal tori) of the set of maximal k-tori which do not contain proper k-subtori (we call such tori k-irreducible). Using the fact that the k-irreducible tori we construct have the weak approximation property, we extend some of our previous results (contained in Publ. Math. Inst. Haute Etudes Sci. 84 (1996), 91-187, § 9) to global function fields. This allows one to establish the congruence subgroup property for the groups of points of G over semi-local subrings of k. Finally, we examine the strong approximation property in the maximal k-tori of G with respect to generalized arithmetic progressions.Irreducible Tori in semisimple groups (Erratum) dx.doi.org/10.1155/S1073792802112074" @default.
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- W2283065716 date "2001-01-01" @default.
- W2283065716 modified "2023-09-25" @default.
- W2283065716 doi "https://doi.org/10.1155/s1073792801000587" @default.
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