Book Review
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MathSciNet review:
3020831
Full text of review:
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Book Information:
Author:
Michael W. Davis
Title:
The geometry and topology of Coxeter groups
Additional book information:
London Mathematical Society Monographs Series, 32,
Princeton University Press,
Princeton, NJ,
2008,
xvi+584 pp.,
ISBN 978-0-691-13138-2
Author:
Ross Geoghegan
Title:
Topological methods in group theory
Additional book information:
Graduate Texts in Mathematics, 243,
Springer,
New York,
2008,
xiv+473 pp.,
ISBN 978-0-387-74611-1
Mladen Bestvina and Noel Brady, Morse theory and finiteness properties of groups, Invent. Math. 129 (1997), no. 3, 445–470. MR 1465330, DOI 10.1007/s002220050168
Martin R. Bridson and André Haefliger, Metric spaces of non-positive curvature, Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 319, Springer-Verlag, Berlin, 1999. MR 1744486, DOI 10.1007/978-3-662-12494-9
Kenneth S. Brown, Cohomology of groups, Graduate Texts in Mathematics, vol. 87, Springer-Verlag, New York, 1994. Corrected reprint of the 1982 original. MR 1324339
Michael W. Davis, Groups generated by reflections and aspherical manifolds not covered by Euclidean space, Ann. of Math. (2) 117 (1983), no. 2, 293–324. MR 690848, DOI 10.2307/2007079
Max Dehn, Papers on group theory and topology, Springer-Verlag, New York, 1987. Translated from the German and with introductions and an appendix by John Stillwell; With an appendix by Otto Schreier. MR 881797, DOI 10.1007/978-1-4612-4668-8
W. Hurewicz, Beträge zur Topology der Deformationen. iv. Asphärische Räume, Nederl. Akad. Wetensch. Proc. 39 (1936), 215–224.
Barry Mazur, A note on some contractible $4$-manifolds, Ann. of Math. (2) 73 (1961), 221–228. MR 125574, DOI 10.2307/1970288
References
- Mladen Bestvina and Noel Brady, Morse theory and finiteness properties of groups, Invent. Math. 129 (1997), no. 3, 445–470. MR 1465330 (98i:20039)
- Martin R. Bridson and André Haefliger, Metric spaces of non-positive curvature, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 319, Springer-Verlag, Berlin, 1999. MR 1744486 (2000k:53038)
- Kenneth S. Brown, Cohomology of groups, Graduate Texts in Mathematics, vol. 87, Springer-Verlag, New York, 1994, Corrected reprint of the 1982 original. MR 1324339 (96a:20072)
- Michael W. Davis, Groups generated by reflections and aspherical manifolds not covered by Euclidean space, Ann. of Math. (2) 117 (1983), no. 2, 293–324. MR 690848 (86d:57025)
- Max Dehn, Papers on group theory and topology, Springer-Verlag, New York, 1987, Translated from the German and with introductions and an appendix by John Stillwell, With an appendix by Otto Schreier. MR 881797 (88d:01041)
- W. Hurewicz, Beträge zur Topology der Deformationen. iv. Asphärische Räume, Nederl. Akad. Wetensch. Proc. 39 (1936), 215–224.
- Barry Mazur, A note on some contractible $4$-manifolds, Ann. of Math. (2) 73 (1961), 221–228. MR 0125574 (23:A2873)
Review Information:
Reviewer:
John Meier
Affiliation:
Department of Mathematics, Lafayette College, Easton, Pennsylvania
Email:
meierj@lafayette.edu
Journal:
Bull. Amer. Math. Soc.
50 (2013), 347-352
DOI:
https://doi.org/10.1090/S0273-0979-2012-01384-8
Published electronically:
July 24, 2012
Review copyright:
© Copyright 2012
American Mathematical Society