Lannes’ T -functor and the cohomology of BG

Guido Mislin

Compositio Mathematica (1993)

  • Volume: 86, Issue: 2, page 177-187
  • ISSN: 0010-437X

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Mislin, Guido. "Lannes’ $T$-functor and the cohomology of BG." Compositio Mathematica 86.2 (1993): 177-187. <http://eudml.org/doc/90216>.

@article{Mislin1993,
author = {Mislin, Guido},
journal = {Compositio Mathematica},
keywords = {cohomology; Lie group},
language = {eng},
number = {2},
pages = {177-187},
publisher = {Kluwer Academic Publishers},
title = {Lannes’ $T$-functor and the cohomology of BG},
url = {http://eudml.org/doc/90216},
volume = {86},
year = {1993},
}

TY - JOUR
AU - Mislin, Guido
TI - Lannes’ $T$-functor and the cohomology of BG
JO - Compositio Mathematica
PY - 1993
PB - Kluwer Academic Publishers
VL - 86
IS - 2
SP - 177
EP - 187
LA - eng
KW - cohomology; Lie group
UR - http://eudml.org/doc/90216
ER -

References

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  1. 1 J. Duflot, Depth and equivariant cohomology, Comment. Math. Helv.56 (1981), 627-637. Zbl0493.55003MR656216
  2. 2 W.G. Dwyer and C.W. Wilkerson, A cohomology decomposition theorm, to appear in Topology. Zbl0756.55012MR1167181
  3. 3 W.G. Dwyer and C.W. Wilkerson, Smith theory and the T-functor, Comment. Math. Helv.66 (1991), 1-17. Zbl0726.55011MR1090162
  4. 4 W.G. Dwyer and C.W. Wilkerson, Spaces of null homotopic maps; Astérisque191 (1990), 97-108. Zbl0731.55009MR1098969
  5. 5 H.-W. Henn, Cohomological p-nilpotence criteria for compact Lie groups; Astérisque, 191 (1990), 211-220. Zbl0732.55012MR1098971
  6. 6 S. Jackowski, Group homomorphisms inducing isomorphisms of cohomology, Top.17 (1978), 303-307. Zbl0392.20033MR508894
  7. 7 S. Jackowski, Homotopy decomposition of classifying spaces via elementary abelian subgroups, Top.31 (1992), 113-132. Zbl0754.55014MR1153240
  8. 8 J. Lannes, Sur la cohomologie modulo p des p-groupes abéliens élémentaires, in "Homotopy Theory, Proc. Durham Symp. 1985", edited by E. Rees and J. D. S. Jones, Cambridge Univ. Press, Cambridge1987. Zbl0654.55013MR932261
  9. 9 J. Lannes and L. Schwartz, Sur la structure des A-modules instables injectifs, Top.28 (1989), 153-170. Zbl0683.55016MR1003580
  10. 10 N. Minami, Group homomorphisms inducing an isomorphism of a functor, Math. Proc. Camb. Phil. Soc.104 (1988), 81-93. Zbl0677.22005MR938453
  11. 11 G. Mislin, On group homomorphisms inducing mod-p cohomology isomorphisms, Comment. Math. Helv.65 (1990), 454-561. Zbl0713.55009MR1069820
  12. 12 G. Mislin and J. Thévenaz, The Z*-theorem for compact Lie groups, Math. Ann.291 (1991), 103-111. Zbl0758.22006MR1125010
  13. 13 D. Quillen, A cohomological criterion for p-nilpotence, J. pure and appl. Algebra4 (1971), 361-372. Zbl0254.20038MR318339
  14. 14 J. Tate, Nilpotent quotient groups, Top.3, Suppl 1 (1964), 109-111. Zbl0125.01503MR160822

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