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On the Morava K-theory of 
Author:
Björn Schuster
Journal:
Proc. Amer. Math. Soc. 142 (2014), 1437-1445
MSC (2010):
Primary 55R35, 55N20; Secondary 57T25
Published electronically:
January 27, 2014
MathSciNet review:
3162263
Full-text PDF
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Abstract: We show that for all  and all primes  , the Morava K-theory of the classifying space of the Mathieu group  is generated by transfers of Euler classes.
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Malkhaz
Bakuradze and Vladimir
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(99a:55016), 10.1016/S0040-9383(96)00049-3
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(44 #7566)
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Björn
Schuster, On the Morava 𝐾-theory of some finite
2-groups, Math. Proc. Cambridge Philos. Soc. 121
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(97i:55008), 10.1017/S0305004196001156
- [8]
Björn
Schuster, 𝐾(𝑛) Chern approximations of some finite
groups, Algebr. Geom. Topol. 12 (2012), no. 3,
1695–1720. MR
2966700, 10.2140/agt.2012.12.1695
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Björn
Schuster, Morava 𝐾-theory of groups of order 32,
Algebr. Geom. Topol. 11 (2011), no. 1, 503–521.
MR
2783236 (2012j:55006), 10.2140/agt.2011.11.503
- [10]
Björn
Schuster and Nobuaki
Yagita, Morava 𝐾-theory of
extraspecial 2-groups, Proc. Amer. Math.
Soc. 132 (2004), no. 4, 1229–1239 (electronic). MR 2045443
(2005g:55027), 10.1090/S0002-9939-03-07183-1
- [1]
- Malkhaz Bakuradze and Vladimir Vershinin, Morava
 -theory rings for the dihedral, semidihedral and generalized quaternion groups in Chern classes, Proc. Amer. Math. Soc. 134 (2006), no. 12, 3707-3714. MR 2240687 (2007c:55007), http://dx.doi.org/10.1090/S0002-9939-06-08424-3
- [2]
- Michael J. Hopkins, Nicholas J. Kuhn, and Douglas C. Ravenel, Generalized group characters and complex oriented cohomology theories, J. Amer. Math. Soc. 13 (2000), no. 3, 553-594 (electronic). MR 1758754 (2001k:55015), http://dx.doi.org/10.1090/S0894-0347-00-00332-5
- [3]
- John Hunton, The Morava
 -theories of wreath products, Math. Proc. Cambridge Philos. Soc. 107 (1990), no. 2, 309-318. MR 1027783 (91a:55004), http://dx.doi.org/10.1017/S0305004100068572
- [4]
- Igor Kriz, Morava
 -theory of classifying spaces: some calculations, Topology 36 (1997), no. 6, 1247-1273. MR 1452850 (99a:55016), http://dx.doi.org/10.1016/S0040-9383(96)00049-3
- [5]
- Carlos Prieto, Transfer and the spectral sequence of a fibration, Trans. Amer. Math. Soc. 271 (1982), no. 1, 133-142. MR 648082 (84e:55010), http://dx.doi.org/10.2307/1998755
- [6]
- Daniel Quillen, Elementary proofs of some results of cobordism theory using Steenrod operations, Advances in Math. 7 (1971), 29-56 (1971). MR 0290382 (44 #7566)
- [7]
- Björn Schuster, On the Morava
 -theory of some finite  -groups, Math. Proc. Cambridge Philos. Soc. 121 (1997), no. 1, 7-13. MR 1418356 (97i:55008), http://dx.doi.org/10.1017/S0305004196001156
- [8]
- Björn Schuster,
 Chern approximations of some finite groups, Algebr. Geom. Topol. 12 (2012), no. 3, 1695-1720. MR 2966700, http://dx.doi.org/10.2140/agt.2012.12.1695
- [9]
- Björn Schuster, Morava
 -theory of groups of order 32, Algebr. Geom. Topol. 11 (2011), no. 1, 503-521. MR 2783236 (2012j:55006), http://dx.doi.org/10.2140/agt.2011.11.503
- [10]
- Björn Schuster and Nobuaki Yagita, Morava
 -theory of extraspecial 2-groups, Proc. Amer. Math. Soc. 132 (2004), no. 4, 1229-1239 (electronic). MR 2045443 (2005g:55027), http://dx.doi.org/10.1090/S0002-9939-03-07183-1
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Additional Information
Björn Schuster
Affiliation:
FB C Mathematik und Naturwissenschaften, Bergische Universität Wuppertal, Wuppertal, Germany
Address at time of publication:
Fakultät für Mathematik, Ruhr-Universität Bochum, 44801 Bochum, Germany
Email:
bjoern.schuster@rub.de
DOI:
http://dx.doi.org/10.1090/S0002-9939-2014-11873-9
PII:
S 0002-9939(2014)11873-9
Received by editor(s):
September 8, 2010
Received by editor(s) in revised form:
May 10, 2012
Published electronically:
January 27, 2014
Communicated by:
Brooke Shipley
Article copyright:
© Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
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