Book Review
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MathSciNet review:
1567512
Full text of review:
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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.
Roger C. Alperin and Peter B. Shalen, Linear groups of finite cohomological dimension, Invent. Math. 66 (1982), no. 1, 89–98. MR 652648, DOI 10.1007/BF01404758
A. Borel and J.-P. Serre, Corners and arithmetic groups, Comment. Math. Helv. 48 (1973), 436–491. MR 387495, DOI 10.1007/BF02566134
Beno Eckmann and Peter Linnell, Poincaré duality groups of dimension two. II, Comment. Math. Helv. 58 (1983), no. 1, 111–114. MR 699010, DOI 10.1007/BF02564628
Kenneth S. Brown, Euler characteristics of discrete groups and $G$-spaces, Invent. Math. 27 (1974), 229–264. MR 385007, DOI 10.1007/BF01390176
Daniel H. Gottlieb, 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
G. Harder, A Gauss-Bonnet formula for discrete arithmetically defined groups, Ann. Sci. École Norm. Sup. (4) 4 (1971), 409–455. MR 309145
P. A. Linnell, 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
William S. Massey, Algebraic topology: an introduction, Graduate Texts in Mathematics, Vol. 56, Springer-Verlag, New York-Heidelberg, 1977. Reprint of the 1967 edition. MR 0448331
Derek John Scott Robinson, A course in the theory of groups, Graduate Texts in Mathematics, vol. 80, Springer-Verlag, New York-Berlin, 1982. MR 648604
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
C. T. C. Wall, Rational Euler characteristics, Proc. Cambridge Philos. Soc. 57 (1961), 182–184. MR 122853, DOI 10.1017/s030500410003499x
- R. C. Alperin and P. B. Shalen, Linear groups of finite cohomological dimension, Invent. Math. 66 (1982), 89-98. MR 0652648
- A. Borel and J.-P. Serre, Corners and arithmetic groups. Comment. Math. Helv. 48 (1974), 244-297. MR 387495
- B. Eckmann and P. Linnell, Poincaré duality groups of dimension two. II, Comment. Math. Helv. 58 (1983), 111-114. MR 699010
- K. S. Brown, Euler characteristics of discrete groups and G-spaces, Invent. Math. 27 (1974), 229-264. MR 385007
- D. H. Gottlieb, Transfers, centers, and group cohomology, Proc. Amer. Math. Soc. 89 (1983), 157-162. MR 706532
- G. Harder, A Gauss-Bonnet formula for discrete arithmetically defined groups, Ann. Sci. École Norm. Sup. (4) 4 (1971), 409-455. MR 309145
- P. Linnell, Decomposition of augmentation ideals and relation modules, Proc. London Math. Soc. 47 (1983), 83-127. MR 698929
- W. S. Massey, Algebraic topology: an introduction, Harcourt, Brace and World, 1967; reprinted, Graduate Texts in Math., vol. 56, Springer-Verlag, 1977. MR 448331
- D. J. S. Robinson, A course in the theory of groups, Graduate Texts in Math., No. 80, Springer-Verlag, 1982. MR 648604
- J.-P. Serre, Cohomologie des groupes discrets, Ann. of Math. Stud. 70 (1971), 77-169. MR 385006
- C. T. C. Wall, Rational Euler characteristics, Proc. Cambridge Philos. Soc. 57 (1961), 182-183. MR 122853
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
