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Cohomology of Split Group Extensions and Characteristic Classes
There are characteristic classes that are the obstructions to the vanishing
of the differentials in the Lyndon-Hochischild-Serre spectral sequence of an
extension of an integral lattice L by a group G. These characteristic classes
exist in a given page of the spectral sequence provided the differentials in
the previous pages are all zero. When L decomposes into a sum of G-sublattices,
we show that there are defining relations between the characteristic classes of
L and the characteristic classes of its summands.Comment: 13 page
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