Higher torsion in the Morava K-theory of SO(m) and Spin(m)

Tetsu NISHIMOTO

doi:10.2969/jmsj/05320383

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Home > Journals > J. Math. Soc. Japan > Volume 53 > Issue 2 > Article

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

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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