Talk:Gromov's theorem on groups of polynomial growth
From Wikipedia, the free encyclopedia
NB current overlap with Growth rate (group theory).
Charles Matthews 21:21, 4 May 2004 (UTC)
I did a search for Gromov, nothing showed up
I dunno --delete it, join it CSTAR
Actually, I was planning saying something about proofs at some point, so maybe deletion isn't a good idea. CSTAR
Contents |
[edit] Strange name
It is really strange to give such a name for theorem, something should be specified, there are 100s of theorems which can be called Gromov's theorem, this can be only disamb. page... Tosha 00:50, 6 May 2004 (UTC)
[edit] Maybe
True... Maybe should have specifically called it Gromov's theorem on groups of polynomial growth. But probably most references to Gromov's theroem are to this theorem. But I don't at this point deletion of this page is a good idea CSTAR Wed May 5 20:17:56 CDT 2004
More theorems of Gromov would be excellent. But this one is famous (well, I knew it, as a non-specialist). Charles Matthews 05:42, 6 May 2004 (UTC)
[edit] Found him...
The Gromov in question appears to be Misha Gromov at IHES, the Institut des Hautes Études Scientifiques in Bures-sur-Yvette: http://www.ihes.fr/~gromov/ a.k.a. Michael Gromov —The preceding unsigned comment was added by 213.253.40.226 (talk • contribs).
I put Mikhail (as the most standard one) Michael is french (?) and Misha is nickname Tosha 20:18, 13 Jun 2004 (UTC)
[edit] Metric or convergence
In the proof he deals with non compact spaces, and there is no GH-metric in this case. (I'm not sure, he might use Lipschitz-Hausdorff distance??, but anyway this notion is not as popular now) In addition GH-metric is described in GH-convergence, so it should point there...
Tosha 13:49, 14 Jun 2004 (UTC)
