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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



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

Authors: Ippei Ichigi, Hirofumi Nakai and Douglas C. Ravenel
Journal: Trans. Amer. Math. Soc. 354 (2002), 3789-3813
MSC (2000): Primary 55T99; Secondary 55Q51
Published electronically: April 23, 2002
MathSciNet review: 1911522
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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

Hirofumi Nakai
Affiliation: Department of Mathematics, Oshima National College of Maritime Technology, Oshima, Japan

Douglas C. Ravenel
Affiliation: Department of Mathematics, University of Rochester, Rochester, New York 14627

Received by editor(s): December 1, 2001
Published electronically: April 23, 2002
Additional Notes: The third author acknowledges support from NSF grant DMS-9802516.
Article copyright: © Copyright 2002 American Mathematical Society

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