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Book Review

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Book Information

Author(s): Victor P. Snaith
Title: Galois module structure
Additional book information: Fields Institute Monographs, vol. 2, American Mathematical Society, Providence, RI, 1994, vii+207 pp., $70.00, ISBN 0-8218-0264-X

References:

[BB]
D. Burns, N. Byott, L-functions and Galois modules, in: L-functions and arithmetic (J. Coates, M. J. Taylor, eds.), Cambridge University Press, 1991, pp. 75-139. MR 92d:11124

[BF1]
D. Burns, M. Flach, Motivic L-functions and Galois module structures, Math. Ann. 305 (1996), 65-102. CMP 96:11

[BF2]
D. Burns, M. Flach, On Galois structure invariants associated to Tate motives (to appear).

[C1]
T. Chinburg, On the Galois structure of algebraic integers and $S$-units, Invent. Math. 74 (1983), 321-349. MR 86c:11096

[C2]
T. Chinburg, Exact sequences and Galois module structure, Ann. Math. vol 121 (1985), 351-376. MR 86j:11115

[CKPS1]
T. Chinburg, M. Kolster, G. Pappas, V. Snaith, Galois structure of K-groups of rings of integers, C. R. Acad. Sci. Paris 320 (1995), 1435-1440. MR 96d:19010

[CKPS2]
T. Chinburg, M. Kolster, G. Pappas, V. Snaith, Galois structure of K-groups of rings on integers (to appear).

[F1]
A. Fröhlich, Galois module structure of algebraic integers, Springer-Verlag, 1983. MR 85h:11067

[F2]
A. Fröhlich, Classgroups and Hermitian modules, Birkhäuser, 1984. MR 86g:11064

[H]
D. Holland, Additive Galois module structure and Chinburg's Invariant, J. reine agnew. Math. 425 (1992), 193-218. MR 93e:11136

[K]
B. Kahn, Descente Galoisienne et $K_{2}$ des corps de nombres, K-theory 7 (1993), 55-100. MR 94i:11094

[Ki1]
S. Kim, A generalisation of Fröhlich's conjecture to wildly ramified quaternion extensions of $\mathbb{Q}$, Ill. J. Math. 35 (1991), 158-189. MR 91i:11159

[Ki2]
S. Kim, The root number class and Chinburg's second invariant, J. Alg. 153 (1992), 133-202. MR 93m:11117

[N]
E. Nöether, Normalbasis bei Körpen ohne höhere Verzweigung, J. reine agnew. Math. 167 (1932), 147-152.

[Sn]
V. P. Snaith, Explicit Brauer Induction, Cambridge University Press, 1994. MR 96e:20012

[T]
M. J. Tayor, On Fröhlich's conjecture for rings of integers of tame extensions, Invent. Math. 63 (1981), 41-79. MR 82g:12008

Additional Information:

Reviewer(s):
A. Agboola
Affiliation: University of California, Santa Barbara
Email: agboola@math.ucsb.edu

Review Information:
Journal: Bull. Amer. Math. Soc. 35 (1998), 249-252.

MSC (1991): Primary 11R04, 11R33, 11R37; Secondary 11R70, 19F99
DOI: 10.1090/S0273-0979-98-00753-8
PII: S 0273-0979(98)00753-8
Copyright of article: Copyright 1998, American Mathematical Society

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