Linear groups of finite cohomological dimension

Alperin, Roger C.; Shalen, Peter B.

doi:10.1090/S0273-0979-1981-14907-7

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Linear groups of finite cohomological dimension
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by Roger C. Alperin and Peter B. Shalen PDF

Bull. Amer. Math. Soc. 4 (1981), 339-341

References

Hyman Bass, Groups of integral representation type, Pacific J. Math. 86 (1980), no. 1, 15–51. MR 586867, DOI 10.2140/pjm.1980.86.15
Robert Bieri, A connection between the integral homology and the centre of a rational linear group, Math. Z. 170 (1980), no. 3, 263–266. MR 564205, DOI 10.1007/BF01214865
Jean-Pierre Serre, Cohomologie des groupes discrets, Prospects in mathematics (Proc. Sympos., Princeton Univ., Princeton, N.J., 1970) Ann. of Math. Studies, No. 70, Princeton Univ. Press, Princeton, N.J., 1971, pp. 77–169 (French). MR 0385006
Jean-Pierre Serre, Amalgames et points fixes, Proceedings of the Second International Conference on the Theory of Groups (Australian Nat. Univ., Canberra, 1973) Lecture Notes in Math., Vol. 372, Springer, Berlin, 1974, pp. 633–640 (French). MR 0376882