DOIAbstract
AbstractThere are characteristic classes that are the obstructions to the vanishing of the differentials in the Lyndon–Hochschild–Serre spectral sequence of a split extension of an integral lattice L by a group G. These characteristic classes exist in the rth page of the spectral sequence provided that the differentials di=0 for all i<r. 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
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