The Chromatic Ext Groups \Ext_{\Gamma(m+1)}^{0}(BP_{},M_2^{1})

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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Bibliographic Details
Published in:Transactions of the American Mathematical Society 2002-09, Vol.354 (9), p.3789-3813
Main Authors: Ichigi, Ippei, Nakai, Hirofumi, Ravenel, Douglas C.
Format: Article
Language:English
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Summary: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.
ISSN:0002-9947
1088-6850
DOI:10.1090/S0002-9947-02-02991-4