The first line of the Bockstein spectral sequence on a monochromatic spectrum at an odd prime
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AbstractThe chromatic spectral sequence was introduced by Miller, Ravenel, and Wilson to compute the E2-term of the Adams-Novikov spectral sequence for computing the stable homotopy groups of spheres. The E1-term of the spectral sequence is an Ext group of BP*BP-comodules. There is a sequence of Ext groups for nonnegative integers n with and there are Bockstein spectral sequences computing a module (n – s) from So far, a small number of the E1-terms are determined. Here, we determine the for p > 2 and n > 3 by computing the Bockstein spectral sequence with E1-term for s = 1, 2. As an application, we study the nontriviality of the action of α1 and β1 in the homotopy groups of the second Smith-Toda spectrum V(2).
1987 ◽
Vol 101
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pp. 477-485
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1978 ◽
Vol 30
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pp. 45-53
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1978 ◽
Vol 83
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pp. 429-443
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1964 ◽
Vol 60
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pp. 409-420
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1965 ◽
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pp. 855-868
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1965 ◽
Vol 61
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pp. 53-60
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2011 ◽
Vol 7
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pp. 203-347
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