bio | website | |
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location | Jacobs University | |
age | 38 | |
visits | member for | 5 years, 2 months |
seen | 2 mins ago | |
stats | profile views | 869 |
Apr 20 |
comment |
Orbits of the maximal compact subgroup on the light cone for $p$-adic groups
Thank Paul, I fixed it. |
Apr 20 |
revised |
Orbits of the maximal compact subgroup on the light cone for $p$-adic groups
deleted 2 characters in body |
Apr 20 |
asked | Orbits of the maximal compact subgroup on the light cone for $p$-adic groups |
Apr 2 |
asked | A variant of Nelson-Hadwiger Problem on the chromatic number of the plane |
Mar 31 |
accepted | In what sense is the classification of all finite groups “impossible”? |
Jan 29 |
awarded | Yearling |
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? |