Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A seven-term exact sequence for the cohomology of a group extension   In this paper, we construct a seven-term exact sequence involving the
cohomology groups of a group extension. Although the existence of such a
sequence can be derived using spectral sequence arguments, there is little
knowledge about some of the maps occuring in the sequence, limiting its
usefulness. Here we present a construction using only very elementary tools,
always related to the notion of conjugation in a group. This results in a
complete and usable description of all the maps, which we describe both on
cocycle level as on the level of the interpretations of low dimensional
cohomology groups (e.g. group extensions).

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The categories of this paper are: nlin
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: cs