Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The first line of the Bockstein spectral sequence on a monochromatic
  spectrum at an odd prime   The chromatic spectral sequence is introduced in \cite{mrw} to compute the
$E_2$-term of the \ANSS\ for computing the stable homotopy groups of spheres.
The $E_1$-term $E_1^{s,t}(k)$ of the spectral sequence is an Ext group of
$BP_*BP$-comodules. There are a sequence of Ext groups $E_1^{s,t}(n-s)$ for
non-negative integers $n$ with $E_1^{s,t}(0)=E_1^{s,t}$, and Bockstein spectral
sequences computing a module $E_1^{s,*}(n-s)$ from $E_1^{s-1,*}(n-s+1)$. So
far, a small number of the $E_1$-terms are determined. Here, we determine the
$E_1^{1,1}(n-1)=\e^1M^1_{n-1}$ for $p>2$ and $n>3$ by computing the Bockstein
spectral sequence with $E_1$-term $E_1^{0,s}(n)$ for $s=1,2$. As an
application, we study the non-triviality of the action of $\alpha_1$ and
$\beta_1$ in the homotopy groups of the second Smith-Toda spectrum V(2).

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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: funct-an