bio | website | |
---|---|---|
location | Jacobs University | |
age | 37 | |
visits | member for | 4 years, 10 months |
seen | Oct 9 at 14:34 | |
stats | profile views | 833 |
Oct 17 |
awarded | Popular Question |
Oct 16 |
awarded | Nice Answer |
Sep 11 |
awarded | Nice Question |
Sep 8 |
comment |
In what sense is the classification of all finite groups “impossible”?
@StefanKohl: Well, I take CFSG as a complete classification, even though it does not answer all questions that one can pose about the finite simple groups. Such a listing would be perfectly OK. My question is, whether there are any obvious obstruction that one cannot expect to come up with such a list for all groups. For instance, the classification of the groups of order $p^n$ gets increasingly complicated with $n$, but so does the classification of $n \times n$ matrices up to conjugacy (Jordan form), so in what sense is the classification of groups of prime power "impossible"? |
Sep 8 |
asked | In what sense is the classification of all finite groups “impossible”? |
Aug 24 |
awarded | Nice Answer |
Aug 23 |
comment |
A question about “Zariski dense” arguments
Yes, but there is no "subtraction" possible in the space $Y$ above. Let me rephrase the argument: the set of matrices $A$ with $p_A(A)=0$ is closed, (because it is the pre-image of $0$ under the map $ A \mapsto p_A(A)$ that $\{ 0 \}$). Since it contains a dense set, it has to be the entire space. You do not need to use the diagonal. |
Aug 23 |
answered | A question about “Zariski dense” arguments |
Aug 6 |
comment |
$p$-adic analogues of $SO(3)$
user52824: Thank you for the enlightening comment. I soon have to deal with several other cases (including different ${\mathbf Q}_p$-forms of ${\mathrm{SO}}_4$.) It would be great if you could please provide a reference that explains how to systematically find all these forms. |
Aug 5 |
comment |
$p$-adic analogues of $SO(3)$
thank you for the comment! |
Aug 5 |
accepted | $p$-adic analogues of $SO(3)$ |
Aug 5 |
asked | $p$-adic analogues of $SO(3)$ |
Aug 5 |
accepted | Orbits of an action of maximal compact subgroups of p-adic orthogonal groups |
Jul 14 |
accepted | is there a p-adic implicit function theorem? |
Jul 14 |
comment |
is there a p-adic implicit function theorem?
Thank you very much! Analytic would do! |
Jul 13 |
asked | is there a p-adic implicit function theorem? |
Jul 13 |
comment |
Orbits of an action of maximal compact subgroups of p-adic orthogonal groups
Thanks you very much for the detailed answer. I am trying to understand it now. |
Jul 12 |
asked | Orbits of an action of maximal compact subgroups of p-adic orthogonal groups |
Jul 2 |
awarded | Curious |
Mar 6 |
awarded | Nice Question |