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Morava  -theory rings for the dihedral, semidihedral and generalized quaternion groups in Chern classes
Author(s):
Malkhaz
Bakuradze;
Vladimir
Vershinin
Journal:
Proc. Amer. Math. Soc.
134
(2006),
3707-3714.
MSC (2000):
Primary 55N20, 55R12, 55R40
Posted:
June 28, 2006
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Abstract:
Morava  -theory rings of classifying spaces of the dihedral, semidihedral and generalized quaternion groups are presented in terms of Chern classes.
References:
-
- 1.
- M. Bakuradze : Morava
 -theory rings for the modular groups in Chern classes,  -Theory, to appear. - 2.
- M. Bakuradze, S. Priddy : Transfer and complex oriented cohomology rings, Algebraic
 Geometric Topology 3(2003), 473-509. MR 1997326 (2004m:55007) - 3.
- M. Bakuradze, S. Priddy : Transfered Chern classes in Morava
 -theory, Proc. Amer. Math. Soc., 132(2004), 1855-1860.MR 2051151 (2005a:55017a) - 4.
- K. Broto, V. V. Vershinin : On the generalized homology of Artin groups. (Russian), Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 266 (2000), Teor. Predst. Din. Sist. Komb. i Algoritm. Metody. 5, 7-12, 336; translation in J. Math. Sci. (NY) 113 (2003), no. 4, 545-547. MR 1774644 (2001f:20077)
- 5.
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 -theory of  -groups with cyclic maximal subgroups and other related  -groups,  -Theory 24, (2001), 385-395. MR 1885128 (2003a:55007) - 6.
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Additional Information:
Malkhaz
Bakuradze
Affiliation:
Razmadze Institute of Mathematics, Tbilisi, 0193, Republic of Georgia
Email:
maxo@rmi.acnet.ge
Vladimir
Vershinin
Affiliation:
Département des Sciences Mathématiques, Université Montpellier II, 34095 Montpellier cedex 05, France
Address at time of publication:
Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia
Email:
vershini@math.univ-montp2.fr, versh@math.nsc.ru
DOI:
10.1090/S0002-9939-06-08424-3
PII:
S 0002-9939(06)08424-3
Keywords:
Transfer,
formal group law,
Chern class
Received by editor(s):
October 6, 2004
Received by editor(s) in revised form:
July 7, 2005
Posted:
June 28, 2006
Additional Notes:
The first author was supported by INTAS 03-51-3251 and GRDF GEM1-3330-TB-03 grants
The second author was supported by CNRS-NSF and INTAS 03-51-3251 grants
Communicated by:
Paul Goerss
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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