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The Chromatic Ext Groups ${\rm Ext}_{\Gamma(m+1)}^{0}(BP_{*},M_2^{1})$

Author(s): Ippei Ichigi; Hirofumi Nakai; Douglas C. Ravenel
Journal: Trans. Amer. Math. Soc. 354 (2002), 3789-3813.
MSC (2000): Primary 55T99; Secondary 55Q51
Posted: April 23, 2002
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Abstract: We compute a certain Ext group related to the chromatic spectral sequence for $T (m)$, the spectrum whose $BP$-homology is $BP_{*}[t_{1},\cdots ,t_{m}]$ for each $m\ge 3$. The answer we get displays a kind of periodicity not seen in the corresponding computation for the sphere spectrum.

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Additional Information:

Ippei Ichigi
Affiliation: Department of Mathematics, Kochi University, Kochi 780-8520, Japan
Email: 95sm004@math.kochi-u.ac.jp

Hirofumi Nakai
Affiliation: Department of Mathematics, Oshima National College of Maritime Technology, Oshima, Japan
Email: nakai@c.osima-k.ac.jp

Douglas C. Ravenel
Affiliation: Department of Mathematics, University of Rochester, Rochester, New York 14627
Email: drav@math.rochester.edu

DOI: 10.1090/S0002-9947-02-02991-4
PII: S 0002-9947(02)02991-4
Received by editor(s): December 1, 2001
Posted: April 23, 2002
Additional Notes: The third author acknowledges support from NSF grant DMS-9802516.
Copyright of article: Copyright 2002, American Mathematical Society

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