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Some finiteness properties of adele groups over number fields. (English) Zbl 0135.08902


MSC:

11R56 Adèle rings and groups
20G35 Linear algebraic groups over adèles and other rings and schemes
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References:

[1] A. Borel, Some properties of adele groups attached to algebraic groups,Bull. A.M.S., 67, (1961), p. 583–585. · Zbl 0119.37002 · doi:10.1090/S0002-9904-1961-10702-7
[2] —, Ensembles fondamentaux pour les groupes arithmétiques,Colloque sur la théorie des groupes algébriques, Bruxelles, 1962.
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[9] —, Einfach zusammenhängende algebraische Gruppen in der Arithmetik,Proc. Int. Congress Math., Stockholm, 1962.
[10] S. Lang andJ. Tate, Principal homogeneous spaces over abelian varieties,Amer. Jour. Math., 80 (1958), p. 659–684. · Zbl 0097.36203 · doi:10.2307/2372778
[11] T. Ono, On some arithmetic properties of linear algebraic groups,Annals of Math. (2),70 (1959), p. 266–290. · Zbl 0092.26701 · doi:10.2307/1970104
[12] M. Rosenlicht, Some rationality questions on algebraic groups,Annali di Mat. pura ed applic. (IV),63 (1957), p. 25–50. · Zbl 0079.25703 · doi:10.1007/BF02411903
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[14] A. Weil,Adeles and algebraic groups (Notes byM. Demazure andT. Ono), The Institute for Advanced Study, Princeton, N.J., 1961.
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