Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Subalgebras of group cohomology defined by infinite loop spaces   We study natural subalgebras Ch_E(G) of group cohomology defined in terms of
infinite loop spaces E and give representation theoretic descriptions of those
based on QS^0 and the Johnson-Wilson theories E(n). We describe the subalgebras
arising from the Brown-Peterson spectra BP and as a result give a simple
reproof of Yagita's theorem that the image of BP^*(BG) in H^*(BG;F_p) is
F-isomorphic to the whole cohomology ring; the same result is shown to hold
with BP replaced by any complex oriented theory E with a map of ring spectra
from E to HF_p which is non-trivial in homotopy. We also extend the
constructions to define subalgebras of H^*(X;F_p) for any space X; when X is
finite we show that the subalgebras Ch_{E(n)}(X) give a natural unstable
chromatic filtration of H^*(X;F_p).

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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
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The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: eess
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The categories of this paper are: acc-phys