Book Review

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MathSciNet review: 1567512

Full text of review: PDF This review is available free of charge.

Book Information:

Author: Kenneth S. Brown

Title: Cohomology of groups

Additional book information: Graduate Texts in Mathematics, Vol. 87, Springer-Verlag, New York, 1982, x + 306 pp., $28.00. ISBN 0-3879-0688-6.

*Linear groups of finite cohomological dimension*, Invent. Math.

**66**(1982), no. 1, 89–98. MR

**652648**, DOI 10.1007/BF01404758

*Corners and arithmetic groups*, Comment. Math. Helv.

**48**(1973), 436–491. MR

**387495**, DOI 10.1007/BF02566134

*Poincaré duality groups of dimension two. II*, Comment. Math. Helv.

**58**(1983), no. 1, 111–114. MR

**699010**, DOI 10.1007/BF02564628

*Euler characteristics of discrete groups and $G$-spaces*, Invent. Math.

**27**(1974), 229–264. MR

**385007**, DOI 10.1007/BF01390176

*Transfers, centers, and group cohomology*, Proc. Amer. Math. Soc.

**89**(1983), no. 1, 157–162. MR

**706532**, DOI 10.1090/S0002-9939-1983-0706532-0

*A Gauss-Bonnet formula for discrete arithmetically defined groups*, Ann. Sci. École Norm. Sup. (4)

**4**(1971), 409–455. MR

**309145**

*Decomposition of augmentation ideals and relation modules*, Proc. London Math. Soc. (3)

**47**(1983), no. 1, 83–127. MR

**698929**, DOI 10.1112/plms/s3-47.1.83

*Algebraic topology: an introduction*, Graduate Texts in Mathematics, Vol. 56, Springer-Verlag, New York-Heidelberg, 1977. Reprint of the 1967 edition. MR

**0448331**

*A course in the theory of groups*, Graduate Texts in Mathematics, vol. 80, Springer-Verlag, New York-Berlin, 1982. MR

**648604**

*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**

*Rational Euler characteristics*, Proc. Cambridge Philos. Soc.

**57**(1961), 182–184. MR

**122853**, DOI 10.1017/s030500410003499x

Review Information:

Reviewer: K. W. Gruenberg

Journal: Bull. Amer. Math. Soc.

**11**(1984), 240-244

DOI: https://doi.org/10.1090/S0273-0979-1984-15284-4