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April, 2001 Higher torsion in the Morava K-theory of SO(m) and Spin(m)
Tetsu NISHIMOTO
J. Math. Soc. Japan 53(2): 383-394 (April, 2001). DOI: 10.2969/jmsj/05320383

Abstract

We determine the module structure of Morava K-theory for the special orthogonal groups and the spinor groups at the prime 2, using the Atiyah-Hirzebruch spectral sequence.

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Tetsu NISHIMOTO. "Higher torsion in the Morava K-theory of SO(m) and Spin(m)." J. Math. Soc. Japan 53 (2) 383 - 394, April, 2001. https://doi.org/10.2969/jmsj/05320383

Information

Published: April, 2001
First available in Project Euclid: 9 June 2008

zbMATH: 0983.55004
MathSciNet: MR1815140
Digital Object Identifier: 10.2969/jmsj/05320383

Subjects:
Primary: 57T10
Secondary: 55N20 , 55T25

Keywords: Atiyah-Hirzebruch spectral sequence , Lie groups , Morava $K$-theory

Rights: Copyright © 2001 Mathematical Society of Japan

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