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Allen Hatcher's user avatar
Allen Hatcher's user avatar
Allen Hatcher
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presentation for GL(n,K)
The kernel of the stabilized map $St(\infty,A)\to E(\infty,A)$ is $K_2(A)$, not $K_3(A)$. Milnor showed that $K_2(\mathbb Z)$ is cyclic of order 2.
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Why do finite homotopy groups imply finite homology groups?
To go from trivial rational homology to finite integral homology one needs to know the integral homology groups are finitely generated.
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