On characteristic classes of groups and bundles of 𝐾(Π,1)’s

Hill, R. O.

doi:10.1090/S0002-9939-1973-0319192-1

On characteristic classes of groups and bundles of $K(\Pi , 1)$’s
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Proc. Amer. Math. Soc. 40 (1973), 597-603 Request permission

Abstract:

If $F \to E \to B$ is a fibration with $F = K(G,1)$, $G$ Abelian, and $B = K(\prod ,1)$, then it is shown that the action and characteristic class of the fibration correspond to those of the induced group extension.

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