Centralizers of elementary abelian P-subgroups, the borel construction of the singular locus and applications to the cohomology of discrete groups

Topology

Volumn 36, Issue 1, 1997, Pages 271-286

  Henn, Hans Werner ^a  

^a NONE

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EID: 0030637296     PISSN: 00409383     EISSN: None     Source Type: Journal    
DOI: 10.1016/0040-9383(95)00061-5     Document Type: Article

References (25)

1. 1. A. Ash, Farell cohomology of GL(n, ℤ), Israel J. Math. 67 (1989), 327-336.
2. 2. A. Borel and J. P. Serre, Cohomologie d'immeubles et de groupes S-arithmétiques, Topology 15 (1976), 211-232.
3. 3. A. K. Bousfield and D. M. Kan, Homotopy limits, completions and localizations, Springer, Lect. Notes in Math, Vol. 304 (1972).
4. 4. K. Brown, Groups of virtually finite dimension, in Homological group theory C.T.C. Wall), Ed., London Math. Soc. LNS 36, Cambridge University Press, Cambridge (1979), pp. 27-70.
5. 5. M. Culler and K. Vogtmann, Moduli of graphs and automorphisms of free groups, Invent. Math. 84 (1986), 91-119.
6. 6. W. G. Dwyer, and D. M. Kan, A classification theorem for diagrams of simplicial sets, Topology 23 (1984), 139-155.
7. 7. W. G. Dwyer and C. W. Wilkerson, Homotopy fixed point methods for Lie groups and finite loop spaces, Ann. Math. 139 (1994), 395-442.
8. 8. E. Ghys and P. de la Harpe, Sur les Groupes Hyperboliques d'après Mikhail Gromov, in Progress in Mathematics, Vol. 83, Birkhäuser Basel (1990).
9. 9. J. Harer, The virtual cohomological dimension of the mapping class group of an orientable surface, Invent. Math. 84 (1986), 157-176.
10. 10. H.-W. Henn, Commutative algebra of unstable K-modules, Lannes' T-functor and equivariant mod p cohomology, Heft Nr. 126, Forschergruppe Topologie und nichtkommutative Geometrie Univ. Heidelberg, September 1995.
11. 11. H.-W. Henn, The mod 2 cohomology of SL(3, ℤ[1/2]), in preparation.
12. 12. H.-W. Henn, J. Lannes and R. Oliver, in preparation.
13. 13. H.-W. Henn, J. Lannes and L. Schwartz, Localizations of unstable A-modules and equivariant mod p cohomology, Math. Ann. 301 (1995), 23-68.
14. ∞ structures, Archiv der Math. 59 (1992), 115-129.
15. 15. S. Jackowski and J. McClure, Homotopy decomposition of classifying spaces via elementary abelian subgroups, Topology 31 (1992), 113-132.
16. 16. S. Jackowski and J. McCulure and R. Oliver, Homotopy theory of classifyng spaces of compact Lie groups, Algebraic topology and its applications, Springer, Berlin (1994), 81-123.
17. 17. C. N. Lee, Farrell cohomology and centralizers of elementary abelian p-subgroups, Preprint.
18. 18. S. Mitchell, On the plus construction for BGLℤ[1/2], Math. Zeit. 209 (1992), 205-222.
19. 19. S. Mitchell and S. Priddy, Symmetric product spectra and splittings of classifying spaces, Amer. J. Math. 106 (1984), 219-232.
20. 20. R. Oliver, Higher limits via Steinberg representations, Comm. Algebra 22 (1994), 1381-1393.
21. 21. D. Quillen, The spectrum of an equivariant cohomology ring I, II, Ann. Math. 94 (1971), 549-572, 573-602.
22. 22. J. P. Serre, Cohomologie des groupes discrets, Ann. Math. Studies 70 (1971), 77-169.
23. 23. J. P. Serre, Arithmetic groups, in Homological group theory C.T.C. Wall, Ed., London Math. Soc. LNS, Vol. 36, Cambridge University Press, Cambridge (1979), pp. 105-136.
24. (p - 1)/2, in Topology '90 B. Apanasov, W. Neumann, A. Reid and L. Siebenmann, Eds., Walter de Gruyter Berlin New York, (1992), pp. 391-398.
25. p - 1, J. Pure Appl. Alg. 78 (1992), 319-334.