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ISSN 1088-9485(e) ISSN 0273-0979(p)

Book Review

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Book Information

Author(s): Skip Garibaldi, Alexander Merkurjev and Jean-Pierre Serre
Title: Cohomological invariants in Galois cohomology
Additional book information: University Lecture Series, vol. 28, American Mathematical Society, Providence, RI, 2003, vii+168 pp., $35.00, ISBN 0-8218-3287-5

References:

1.: J. K. Arason. Cohomologische invarianten quadratischer Formen. J. Algebra 36 (1975), no. 3, 448-491. MR 0389761 (52:10592)
2.: N. Bourbaki. Éléments d'histoire des mathématiques, deuxième édition revue, corrigée, augmentée. Paris: Hermann, 1969. MR 0243970 (39:5288)
3.: R. Elman and T. Y. Lam. Classification theorems for quadratic forms over fields. Comment. Math. Helv. 49 (1974), 373-381. MR 0351997 (50:4485)
4.: C. F. Gauss. Disquisitiones arithmeticae. Sectio quarta de congruentiis secundi gradus, art. 268. Werke, vol. 1, 301-304. Hildesheim: Georg Olms Verlag, 1973. MR 0837656 (87f:01105)
5.: F. Q. Gouvêa (Reviewer). Cohomology of number fields by Jürgen Neukirch, Alexander Schmidt, and Kay Wingberg. Bull. Amer. Math. Soc. (N.S.) 39 (2002), no. 1, 101-107.
6.: M.-A. Knus, A. Merkurjev, M. Rost, and J.-P. Tignol. The book of involutions. Colloquium Publications, vol. 44. Providence, RI: American Mathematical Society, 1998. MR 1632779 (2000a:16031)
7.: S. Mac Lane. Origins of the cohomology of groups. Enseign. Math. (2) 24 (1978), no. 1-2, 1-29. MR 0497280 (81j:01030)
8.: A. S. Merkurjev and A. A. Suslin. -cohomology of Severi-Brauer varieties and the norm residue homomorphism (Russian). Izv. Akad. Nauk SSSR 46 (1982), 1011-1046. English translation, Math. USSR Izv. 21 (1983), 307-340. MR 0675529 (84i:12007)
9.: J. Minác and Z. Reichstein. Trace forms of Galois extensions in the presence of a fourth root of unity. Int. Math. Res. Not. 2004, no. 8, 389-410. MR 2036337
10.: J-P. Serre. Cohomologie galoisienne: progrès et problèmes. Séminaire Bourbaki, 46ème année, 1993-1994, n $^\circ$ 783. Astérisque 227 (1995): 229-257. MR 1321649 (97d:11063)
11.: J-P. Serre. A course in arithmetic. Translation (1973) of Cours d'arithmétique. New York: Springer-Verlag, 1973. MR 0344216 (49:8956)
12.: J-P. Serre. Galois cohomology. Translation (1997), subsequently corrected, of the fifth, revised edition (1994) of Cohomologie galoisienne. Berlin: Springer-Verlag, 2002. MR 1324577 (96b:12010)
13.: J-P. Serre. Local fields. Translation (1979) of the second edition (1968) of Corps locaux. Graduate texts in mathematics, vol. 67. New York: Springer-Verlag, 1979. MR 0554237 (82e:12016)
14.: H. Weyl. The classical groups: their invariants and representations, 2nd ed. Princeton: Princeton University Press, 1946. MR 1488158 (98k:01049)

Additional Information:

Reviewer(s):
John Swallow
Affiliation: Davidson College
Email: joswallow@davidson.edu

Review Information:
Journal: Bull. Amer. Math. Soc. 42 (2005), 93-98.

MSC (2000): Primary 12G05, 11E72
PII: S 0273-0979(04)01033-X
Posted: September 24, 2004
Copyright of article: Copyright 2004, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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