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Exotic cohomology for
Author(s):
W.
G.
Dwyer
Journal:
Proc. Amer. Math. Soc.
126
(1998),
2159-2167.
MSC (1991):
Primary 55N99, 20G16, 19D02, 57T99
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Abstract:
We show that for the mod group cohomology of is not detected on diagonal matrices.
References:
- 1.
- A.K. Bousfield and D.M. Kan, Homotopy Limits, Completions and Localizations, Lecture Notes in Math. 304, Springer-Verlag, Berlin, 1972. MR 51:1825
- 2.
- G. Carlsson, Equivariant stable homotopy and Segal's Burnside ring conjecture, Ann. of Math. 120 (1984), 189-224. MR 86f:57036
- 3.
- G. Carlsson, Equivariant stable homotopy theory and the finite descent problem for unstable algebraic
-theories, Amer. J. Math. 113 (1991), 963-973. MR 92k:55018 - 4.
- W. G. Dwyer and E. M. Friedlander, Algebraic and etale
theory, Trans. Amer. Math. Soc. 292 (1985), 247-280. MR 87h:18013 - 5.
- W. G. Dwyer and E. M. Friedlander, Conjectural calculations of general linear group homology, Applications of Algebraic
-theory to Algebraic Geometry and Number Theory, Contemporary Mathematics Volume 55, Part I, Amer. Math. Soc., Providence, 1986, pp. 135-147. MR 88f:18013 - 6.
- W. G. Dwyer and E. M Friedlander, Topological models for arithmetic, Topology 33 (1994), 1-24. MR 95h:19004
- 7.
- W. G. Dwyer and A. Zabrodsky, Maps between classifying spaces, Algebraic Topology, 1986 Barcelona, Lecture Notes in Math. 1298, Springer, Berlin, 1987, pp. 106-119. MR 89b:55018
- 8.
- E. M. Friedlander, Etale Homotopy of Simplicial Schemes, Ann. of Math. Studies 104, Princeton Univ. Press, Princeton, 1982. MR 84h:55012
- 9.
- H.-W. Henn, J. Lannes and L. Schwartz, Localization of unstable
-modules and equivariant mod cohomology, Math. Ann. 301 (1995), 23-68. MR 95k:55036 - 10.
- H.-W. Henn, The cohomology of
, preprint (Universität Heidelberg) 1996. - 11.
- H.-W. Henn, Commutative algebra of unstable
-modules, Lannes' -functor and equivariant - cohomology, J. Reine Angew. Math. 478 (1996), 189-215. CMP 97:01 - 12.
- S. Lang, Algebraic Number Theory, Grad. Texts. in Math. 110, Springer, Berlin, 1986. MR 95f:11085
- 13.
- C.-N. Lee, On the unstable homotopy type of the classifying space of a virtually torsion-free group, Math. Z. 224 (1997), 235-253. CMP 97:07
- 14.
- S. A. Mitchell, On the plus construction for
at the prime 2, Math. Zeit 209 (1992), 205-222. MR 93b:55021 - 15.
- D. G. Quillen, The spectrum of an equivariant cohomology ring I, II, Ann. of Math. 94 (1971), 549-602. MR 45:7743
- 16.
- D. G. Quillen, On the cohomology and
-theory of the general linear group over finite fields, Annals of Math. 96 (1972), 552-586. MR 47:3565 - 17.
- J.-P. Serre, Cohomologie des groupes discrets, Prospects in Mathematics, Ann. of Math. Studies 70, Princeton Univ. Press, Princeton, 1971, pp. 77-169. MR 52:5876
- 18.
- L. Washington, Introduction to Cyclotomic Fields, Graduate Texts in Math. 83, Springer, Berlin, 1982. MR 85g:11001
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Additional Information:
W.
G.
Dwyer
Affiliation:
Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556
Email:
dwyer.1@nd.edu
DOI:
10.1090/S0002-9939-98-04279-8
PII:
S 0002-9939(98)04279-8
Received by editor(s):
November 14, 1996
Received by editor(s) in revised form:
December 20, 1996
Additional Notes:
This research was partially supported by National Science Foundation Grant DMS95--05024
Communicated by:
Thomas Goodwillie
Copyright of article:
Copyright
1998,
American Mathematical Society
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