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Dec 20, 2011 at 8:01 comment added Ralph Sorry for replying late - it's a bad time for making errors. Of course, your concerns are reasonable. I undererstimated the problem of evaluating the transfer on elements of the form $h[G,G]$. Concerning 3: I forgot the additional condition $H = f^{-1}(H')$.
Dec 20, 2011 at 6:53 history edited Ralph CC BY-SA 3.0
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Dec 19, 2011 at 9:26 comment added Martin Brandenburg I also don't understand the proof of b) at all. And the proof of c) is unclear to me because I don't know which subgroups you take for the application of 3.
Dec 19, 2011 at 8:42 comment added Martin Brandenburg This is exactly what I was looking for. Can you give me a hint why 3. is true for the transfer map? I can only prove it when $f$ induces a bijection $H/G \to H'/G'$.
Dec 19, 2011 at 2:08 history answered Ralph CC BY-SA 3.0