Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homology of SL_n and GL_n over an infinite field   The homology of GL_n(F) and SL_n(F) is studied, where F is an infinite field.
Our main theorem states that the natural map H_4(GL_3(F), k) --> H_4(GL_4(F),
k) is injective where k is a field with char(k) \neq 2, 3. For algebraically
closed field F, we prove a better result, namely, H_4(GL_3(F), Z) -->
H_4(GL_4(F), Z) is injective. We will prove a similar result replacing GL by
SL. This is used to investigate the indecomposable part of the K-group K_4(F).

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The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
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The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
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The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an