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Proceedings of the American Mathematical Society
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Morava $K$-theory of extraspecial $2$-groups

Author(s): Björn Schuster; Nobuaki Yagita
Journal: Proc. Amer. Math. Soc. 132 (2004), 1229-1239.
MSC (2000): Primary 55R35, 55N20; Secondary 57T25
Posted: September 17, 2003
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Abstract: We compute the Morava $K$-theory of some extraspecial 2-groups and associated compact groups.


References:

1.
M. Brunetti.
Morava $K$-theories and dihedral groups.
Ricerche Mat. 44 (1995), 31-40. MR 98f:55004

2.
M. Brunetti.
The $K(n)$-Euler characteristic of extraspecial $p$-groups.
J. Pure Appl. Algebra 155 (2001), 105-113. MR 2002d:55002

3.
M. J. Hopkins, N. J. Kuhn, and D. C. Ravenel.
Generalized group characters and complex oriented cohomology theories.
J. Amer. Math. Soc. 13 (2000), 553-594. MR 2001k:55015

4.
J. R. Hunton.
The Morava $K$-theories of wreath products.
Math. Proc. Cambridge Philos. Soc. 107 (1990), 309-318. MR 91a:55004

5.
I. Kriz.
Morava $K$-theory of classifying spaces: Some calculations.
Topology 36 (1997), 1247-1273. MR 99a:55016

6.
I. Kriz and K. Lee.
Odd-degree elements in the Morava $K(n)$ cohomology of finite groups.
Topology Appl. 103 (2000), 229-241. MR 2001f:55008

7.
D. G. Quillen.
The mod $2$ cohomology rings of extra-special $2$-groups and the spinor groups.
Math. Ann. 194 (1971), 197-212. MR 44:7582

8.
B. Schuster.
On the Morava $K$-theory of some finite $2$-groups.
Math. Proc. Cambridge Philos. Soc. 121 (1997), 7-13. MR 97i:55008

9.
M. Tezuka and N. Yagita.
Cohomology of finite groups and Brown-Peterson cohomology.
Algebraic Topology (Arcata, CA, 1986), 396-408,
Lecture Notes in Math. 1370, Springer-Verlag, Berlin, 1989. MR 90i:55011

10.
M. Tezuka and N. Yagita.
Cohomology of finite groups and Brown-Peterson cohomology II.
Homotopy theory and related topics (Kinosaki, 1988), 57-69.
Lecture Notes in Math. 1418, Springer-Verlag, Berlin, 1990. MR 92b:55003

11.
N. Yagita.
Cohomology for groups of rank$_p(G)=2$ and Brown-Peterson cohomology.
J. Math. Soc. Japan 45 (1993), no. 4, 627-644. MR 94k:55008


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Additional Information:

Björn Schuster
Affiliation: FB 7 Mathematik, Bergische Universität Wuppertal, Wuppertal, Germany
Email: schuster@math.uni-wuppertal.de

Nobuaki Yagita
Affiliation: Department of Mathematics, Faculty of Education, Ibaraki University, Mito, Ibaraki, Japan
Email: yagita@mito.ipc.ibaraki.ac.jp

DOI: 10.1090/S0002-9939-03-07183-1
PII: S 0002-9939(03)07183-1
Keywords: Morava $K$-theory, extraspecial $2$-groups
Received by editor(s): November 2, 2000
Received by editor(s) in revised form: December 2, 2002
Posted: September 17, 2003
Communicated by: Paul Goerss
Copyright of article: Copyright 2003, American Mathematical Society


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