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location Jacobs University
age 37
visits member for 4 years, 7 months
seen 14 mins ago

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
Feb
7
comment Suslin's Stability Theorem for Chevalley Groups
Thanks a lot for the nice answer!
Feb
7
accepted Suslin's Stability Theorem for Chevalley Groups