|
Morava  -theory rings for the dihedral, semidihedral and generalized quaternion groups in Chern classes
Authors:
Malkhaz Bakuradze and Vladimir Vershinin
Journal:
Proc. Amer. Math. Soc. 134 (2006), 3707-3714
MSC (2000):
Primary 55N20, 55R12, 55R40
Posted:
June 28, 2006
MathSciNet review:
2240687
Full-text PDF Free Access
Abstract |
References |
Similar Articles |
Additional Information
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.
M. Brunetti : Morava
 -theory of  -groups with cyclic maximal subgroups and other related  -groups,  -Theory 24, (2001), 385-395. MR 1885128 (2003a:55007)
- 6.
A. Dold : The fixed point transfer of fibre-preserving maps, Math. Zeit. 148 (1976), 215 - 244. MR 0433440 (55:6416)
- 7.
M. Hopkins, N. Kuhn, and D. Ravenel : Generalized group characters and complex oriented cohomology theories, J. Amer. Math. Soc. 13 3 (2000), 553-594.MR 1758754 (2001k:55015)
- 8.
D. S. Kahn, S.B. Priddy : Applications of the transfer to stable homotopy theory, Bull Amer. Math. Soc. 78 (1972), 981-987.MR 0309109 (46:8220)
- 9.
D. Ravenel : Complex cobordism and Stable Homotopy Groups of Spheres, Academic Press, (1986). MR 0860042 (87j:55003)
- 10.
B. Schuster : On the Morava
 -theory of some finite  -groups, Math. Proc. Camb. Phil. Soc. 121 (1997), 7-13. MR 1418356 (97i:55008)
- 11.
M. Tezuka and N. Yagita : Cohomology of finite groups and Brown-Peterson cohomology, Algebraic Topology Arcata 1986, Springer, LNM 1370 (1989), 396-408. MR 1000392 (90i:55011)
- 12.
N. Yagita : Complex
 -theory of  ,  -Theory 6 (1992), 87-95. MR 1186775 (94a:19008)
Similar Articles
Retrieve articles in Proceedings of the American Mathematical Society
with MSC (2000):
55N20,
55R12,
55R40
Retrieve articles in all journals
with MSC (2000):
55N20,
55R12,
55R40
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:
http://dx.doi.org/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
Article copyright:
© Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
|
