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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 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Book Review

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Book Information:

Authors: W. G. Dwyer and H.-W. Henn
Title: Homotopy theoretic methods in group cohomology
Additional book information: Advanced Courses in Mathematics, CRM Barcelona, Birkhäuser, Basel, 2001, x + 98 pp., ISBN 3-7643-6605-2, $29.95$

References [Enhancements On Off] (What's this?)

1.
K. Anderson, J. Grodal, J. Møller and A. Viruel, ``The classification of $p$-compact groups for $p$ odd.'' 87 pp. (Preprint, 2003).
2.
C. Broto, R. Levi and R. Oliver, ``The homotopy theory of fusion systems.'' J. Amer. Math. Soc. 16 (2003), no. 4, 779-856.
3.
G. Carlsson, ``G. B. Segal's Burnside ring conjecture for $( Z/2)\sp{k}$.'' Topology 22 (1983), no. 1, 83-103. MR 0682060
4.
W.G. Dwyer, J.P.C. Greenlees and S. Iyengar, ``Duality in algebra and topology.'' (Preprint, 2002), 39 pp.
5.
W.G. Dwyer, H.R. Miller, and C.W. Wilkerson, ``The homotopic uniqueness of $BS\sp 3$.'' Algebraic topology, Barcelona, 1986, 90-105, Lecture Notes in Math., 1298, Springer, Berlin, 1987. MR 0928825
6.
W.G. Dwyer and C.W. Wilkerson, ``Homotopy fixed-point methods for Lie groups and finite loop spaces.'' Ann. of Math. (2) 139 (1994), no. 2, 395-442. MR 1274096
7.
H.-W. Henn, J. Lannes and L. Schwartz, ``Localizations of unstable $A$-modules and equivariant mod $p$ cohomology.'' Math. Ann. 301 (1995), no. 1, 23-68. MR 1312569
8.
S. Jackowski and J.E. McClure, ``Homotopy approximations for classifying spaces of compact Lie groups.'' Algebraic topology (Arcata, CA, 1986), 221-234, Lecture Notes in Math., 1370, Springer, Berlin, 1989. MR 1000379
9.
S. Jackowski, J.E. McClure and R. Oliver, ``Homotopy classification of self-maps of $BG$ via $G$-actions. I.'' Ann. of Math. (2) 135 (1992), no. 1, 183-226. MR 1147962
10.
J. Lannes, ``Sur la cohomologie modulo $p$ des $p$-groupes abéliens élémentaires.'' Homotopy theory (Durham, 1985), 97-116, London Math. Soc. Lecture Note Ser., 117, Cambridge Univ. Press, Cambridge, 1987. MR 0932261
11.
J. Lannes, ``Sur les espaces fonctionnels dont la source est le classifiant d'un $p$-groupe abélien élémentaire.'' With an appendix by Michel Zisman. Inst. Hautes Études Sci. Publ. Math. No. 75 (1992), 135-244. MR 1179079
12.
R. Levi, ``On homological rate of growth and the homotopy type of $\Omega BG\sp \wedge\sb p$.'' Math. Z. 226 (1997), no. 3, 429-444. MR 1483541
13.
H.R. Miller, ``The Sullivan conjecture on maps from classifying spaces.'' Ann. of Math. (2) 120 (1984), no. 1, 39-87. MR 0750716
14.
D.G. Quillen, ``The spectrum of an equivariant cohomology ring. I, II.'' Ann. of Math. (2) 94 (1971), 549-572; ibid. (2) 94 (1971), 573-602. MR 0298694
15.
D.L. Rector, ``Loop structures on the homotopy type of $S\sp{3}$.'' Symposium on Algebraic Topology (Battelle Seattle Res. Center, Seattle, Wash., 1971), pp. 99-105, Lecture Notes in Math., Vol. 249, Springer, Berlin, 1971. MR 0339153
Review Information:

Reviewer: J. P. C. Greenlees
Affiliation: University of Sheffield
Email: j.greenlees@sheffield.ac.uk
Journal: Bull. Amer. Math. Soc. 41 (2004), 369-376
Published electronically: February 24, 2004
Review copyright: © Copyright 2004 American Mathematical Society