Linear groups of finite cohomological dimension. (English) Zbl 0497.20042


20J05 Homological methods in group theory
20G10 Cohomology theory for linear algebraic groups
20H25 Other matrix groups over rings
Full Text: DOI EuDML


[1] Bass, H.: Groups of integral representation type. Pacific J. Math.86, 15-52 (1980) · Zbl 0444.20006
[2] Bieri, R.: A connection between the integral homology and the centre of a rational linear group. Math. Z.170, 263-266 (1980) · Zbl 0427.20042
[3] Borel, A.: Introduction aux Groupes Arithmétiques. Paris: Hermann 1969 · Zbl 0186.33202
[4] Bourbaki, N.: Commutative Algebra, Chap. 6. Reading: Addison-Wesley 1972 · Zbl 0279.13001
[5] Bruhat, F., Tits, J.: Groupes réductifs sur un corps local. Inst. Hautes Études Sci. Publ. Math.41, 5-251 (1972) · Zbl 0254.14017
[6] Grothendieck, A., Dieudonné, J.: Élements de Geométrie Algébrique. Inst. Hautes Études Sci. Publ. Math.8 (1961)
[7] Gruenberg, K.: Cohomological Topics in Group Theory. Lecture Notes in Mathematics, 143. Berlin Heidelberg New York: Springer-Verlag 1970 · Zbl 0205.32701
[8] Samuel, P.: A propos du théorème des unités. Bull. Sci. Math.90, 89-96 (1966) · Zbl 0166.30701
[9] Serre, J.P.: Cohomologie des groupes discretes. Prospects in Mathematics. Princeton: Princeton University Press 1971 · Zbl 0229.57016
[10] Tits, J.: On buildings and their applications Proc. I.C.M., Vancouver, 209-220 (1974)
[11] Wehrfritz, B.A.F.: Infinite Linear Groups. Berlin Heidelberg New York: Springer-Verlag 1973 · Zbl 0261.20038
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