Timeline for Why are abelian groups amenable?
Current License: CC BY-SA 2.5
7 events
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Jan 19, 2010 at 4:02 | history | edited | Tom Church | CC BY-SA 2.5 |
added 10 characters in body
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Jan 19, 2010 at 0:35 | history | edited | Tom Church | CC BY-SA 2.5 |
expanded on how to prove without equivalences
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Jan 18, 2010 at 22:08 | comment | added | Tom Leinster | Tom, I like the idea of doing any f.g. abelian group instantly, with a single Folner sequence. But I'm unclear as to whether you're saying that needs the classification theorem (CT). I assumed "ball of radius r" referred to choosing a generating set then taking the usual length-of-word norm; and that strategy doesn't seem to depend on the CT. But then, if I understand correctly, you said that you preferred your original approach because it avoided the CT. | |
Jan 18, 2010 at 20:43 | comment | added | Yemon Choi | Well, for what it's worth, Tom, I think you put very clearly what I was only groping towards mentioning: your three step argument is in fact what I had at the back of my mind when I write my own sleep-deprived answer. So +1, if only as a gesture :) | |
Jan 18, 2010 at 19:46 | comment | added | Qiaochu Yuan | It looks like your step 3 is the analogue of Tom's step 5; is it proven in the same way? | |
Jan 18, 2010 at 19:45 | history | edited | Tom Church | CC BY-SA 2.5 |
deleted 25 characters in body
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Jan 18, 2010 at 19:36 | history | answered | Tom Church | CC BY-SA 2.5 |