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The torsion index of a -compact group
Author(s):
Jaume
Aguadé
Journal:
Proc. Amer. Math. Soc.
138
(2010),
4129-4136.
MSC (2010):
Primary 55P35, 57T15
Posted:
May 27, 2010
MathSciNet review:
2679635
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Additional information
Abstract:
We extend the theory of torsion indices of compact connected Lie groups to -compact groups and compute these indices in all cases.
References:
-
- 1.
- K.K.S. Andersen, J. Grodal, J.M. Møller, A. Viruel, The classification of
-compact groups for odd, Ann. of Math. (2) 167 (2008), 95-210. MR 2373153 (2009a:55012) - 2.
- K.K.S. Andersen, J. Grodal, The classification of
-compact groups, J. Amer. Math. Soc. 22 (2009), no. 2, 387-436. MR 2476779 - 3.
- N. Bourbaki, Groupes et algèbres de Lie, Ch. 4, 5 et 6. Act. Sci. Ind. 1337, Paris, 1968. MR 0240238 (39:1590)
- 4.
- D.J. Benson, J.A. Wood, Integral invariants and cohomology of
, Topology 34 (1995), 13-28. MR 1308487 (95m:55023) - 5.
- F.-X. Dehon, J. Lannes, Sur les espaces fonctionnels dont la source est le classifiant d'un groupe de Lie compact commutatif, Inst. Hautes Études Sci. Publ. Math., No. 89 (1999), 127-177. MR 1793415 (2001m:55038)
- 6.
- M. Demazure, Invariants symétriques entiers des groupes de Weyl et torsion, Invent. Math. 21 (1973), 287-301. MR 0342522 (49:7268)
- 7.
- W. G. Dwyer, C. W. Wilkerson, A new finite loop space at the prime
, J. Amer. Math. Soc. 6 (1993), 37-64. MR 1161306 (93d:55011) - 8.
- W. G. Dwyer, C. W. Wilkerson, Homotopy fixed point methods for Lie groups and finite loop spaces, Ann. of Math. (2) 139 (1994), 395-442. MR 1274096 (95e:55019)
- 9.
- M. Feshbach, The image of
in for a compact Lie group with maximal torus , Topology 20 (1981), 93-95. MR 592571 (82g:55019) - 10.
- A. Grothendieck, La torsion homologique et les sections rationnelles, in Anneaux de Chow et applications, Séminaire C. Chevalley, 1958, 2nd year, Secrétariat math., Paris, exp. 5.
- 11.
- D. Notbohm, On the
-compact group , J. Reine Angew. Math. 555 (2003), 163-185. MR 1956596 (2003k:55018) - 12.
- A. Osse, U. Suter, Invariant theory and the K-theory of the Dwyer-Wilkerson space, Contemp. Math., 265, Amer. Math. Soc., Providence, RI, 2000, 17-185. MR 1803957 (2001j:55005)
- 13.
- L. Smith, Polynomial Invariants of Finite Groups. A K Peters, Wellesley, Mass., 1995. MR 1328644 (96f:13008)
- 14.
- J. Tits, Sur les degrés des extensions de corps déployant les groupes algébriques simples, C. R. Acad. Sci. Paris Ser. I. Math. 315 (1992), 1131-1138. MR 1194504 (93m:20059)
- 15.
- B. Totaro, The torsion index of the spin groups, Duke Math. J. 129 (2005), 249-290. MR 2165543 (2006f:57039b)
- 16.
- B. Totaro, The torsion index of
and other groups, Duke Math. J. 129 (2005), 219-248. MR 2165542 (2006f:57039a)
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Additional Information:
Jaume
Aguadé
Affiliation:
Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Cerdanyola del Vallès, Spain
Email:
aguade@mat.uab.cat
DOI:
10.1090/S0002-9939-2010-10391-X
PII:
S 0002-9939(2010)10391-X
Received by editor(s):
February 5, 2009
Posted:
May 27, 2010
Additional Notes:
The author is partially supported by grants MTM2007-61545 and SGR2005-00606.
Communicated by:
Brooke Shipley
Copyright of article:
Copyright
2010,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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