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Homotopy fixed points for cyclic  -group actions
Author(s):
W.
G.
Dwyer;
J.
M.
Møller
Journal:
Proc. Amer. Math. Soc.
125
(1997),
3735-3739.
MSC (1991):
Primary 55P35
MathSciNet review:
1443150
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Abstract:
The homotopy fixed point  -compact groups for cyclic  -group actions on nonabelian connected  -compact groups are not homotopically discrete.
References:
- 1.
- D.J. Benson, Polynomial invariants of finite groups, London Mathematical Society Lecture Note Series, vol. 190, Cambridge University Press, Cambridge, 1994. MR 94j:13003
- 2.
- N. Bourbaki, Groupes et algèbres de Lie, Chp. 9, Masson, Paris, 1982. MR 84j:22001
- 3.
- W.G. Dwyer and C.W. Wilkerson, A new finite loop space at the prime 2, J. Amer. Math. Soc. 6 (1993), 37-64. MR 93d:55011
- 4.
- -, Homotopy fixed point methods for Lie groups and finite loop spaces, Ann. of Math. (2) 139 (1994), 395-442. MR 95e:55019
- 5.
- -, Product splittings for
 -compact groups, Fund. Math. 147 (1995), 279-300. MR 96h:55005 - 6.
- R. Kane, The homology of Hopf spaces, North-Holland Mathematical Library, vol. 40, Elsevier Science Publishers B.V., Amsterdam-New York-Oxford-Tokyo, 1988. MR 90f:55018
- 7.
- J.M. Møller, The normalizer of the Weyl group, Math. Ann. 294 (1992), 59-80. MR 94b:55010
- 8.
- -, Completely reducible
 -compact groups, The \v{C}ech Centennial. A conference on homotopy theory. Contemporary Mathematics, vol. 181 (Providence, Rhode Island) (M. Cenkl and H. Miller, eds.), American Mathematical Society, 1995, pp. 369-383. MR 97b:55020 - 9.
- -, Normalizers of maximal tori, Preprint, March 1995.
- 10.
- -, Rational isomorphisms of
 -compact groups, Topology 35 (1996), 201-225. MR 97b:55019 - 11.
- J.M. Møller and D. Notbohm, Centers and finite coverings of finite loop spaces, J. Reine Angew. Math. 456 (1994), 99-133. MR 95j:55029
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Additional Information:
W.
G.
Dwyer
Affiliation:
Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556
Email:
William.G.Dwyer.1@nd.edu
J.
M.
Møller
Affiliation:
Matematisk Institut, Universitetsparken 5, DK--2100 København Ø, Denmark
Email:
moller@math.ku.dk
DOI:
10.1090/S0002-9939-97-04190-7
PII:
S 0002-9939(97)04190-7
Keywords:
Fixed point,
$p$-compact group,
Lefschetz number,
Weyl group
Received by editor(s):
July 10, 1996
Communicated by:
Thomas Goodwillie
Copyright of article:
Copyright
1997,
American Mathematical Society
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