bio | website | rupertmccallum.com |
---|---|---|
location | Germany | |
age | 38 | |
visits | member for | 3 years, 3 months |
seen | Sep 11 at 8:11 | |
stats | profile views | 143 |
I am doing a post-doctoral research position about topological buildings and topological groups at the University of Münster.
Aug 26 |
awarded | Popular Question |
Jul 2 |
awarded | Curious |
May 26 |
comment |
when the derived group of the group of $k$-rational points has nonempty interior in the strong topology
Many thanks for your help. Peter McNamara, can I ask you to elaborate further about the anisotropic case. I was told that the only examples of anisotropic absolutely quasi-simple algebraic groups over local fields of positive characteristic were of the form $\mathrm{SL}_{1}(\Delta)$ for central simple division algebras $\Delta$, and that the derived group $[G(k),G(k)]$ was equal to the group of norm-1 units in the unique maximal order of $\Delta$, which I thought was open in the strong topology? Does this include your anisotropic form of $\mathrm{PGL_p}$? |
May 26 |
accepted | when the derived group of the group of $k$-rational points has nonempty interior in the strong topology |
May 19 |
comment |
when the derived group of the group of $k$-rational points has nonempty interior in the strong topology
Many thanks for your help. Yes, strong topology does mean the topology coming from the topology on $k$. I think I heard that phrase used somewhere in an algebraic geometry textbook but I'm not sure. Do you know of anywhere where I can read more about the Steinberg presentation? |
May 15 |
asked | when the derived group of the group of $k$-rational points has nonempty interior in the strong topology |
May 8 |
accepted | an algebraic group where the function field is not separable over the ground field |
May 7 |
asked | an algebraic group where the function field is not separable over the ground field |
May 7 |
accepted | A strengthened version of Noether's normalisation lemma? |
May 6 |
asked | A strengthened version of Noether's normalisation lemma? |
Apr 24 |
comment |
ubiquity of free subgroups of special linear groups
Many thanks for all the comments. Gregory Soifer has advised me about a paper he wrote earlier with his student S. Vishkautsan, which would seem to cover the special case of what I am saying when the ground field is $\mathbb{R}$. It looks as though what I am saying is not really all that new. |
Apr 24 |
accepted | ubiquity of free subgroups of special linear groups |
Apr 15 |
awarded | Commentator |
Apr 15 |
comment |
Is the group of rational points of an anisotropic absolutely quasi-simple algebraic group over a non-archimedean local field known to be perfect?
Many thanks, I wonder if you could give me a reference for a proof of the fact that those are the only examples, is it in Platonov's book? |
Apr 14 |
asked | Is the group of rational points of an anisotropic absolutely quasi-simple algebraic group over a non-archimedean local field known to be perfect? |
Apr 14 |
asked | abstract simplicity results for anisotropic quasi-simple algebraic groups defined over a non-archimedean local field |
Mar 29 |
accepted | How do you prove that Q+Con(PA) can't be interpreted in ACA_0? |
Mar 27 |
awarded | Editor |
Mar 27 |
revised |
How do you prove that Q+Con(PA) can't be interpreted in ACA_0?
added 405 characters in body |
Mar 27 |
asked | How do you prove that Q+Con(PA) can't be interpreted in ACA_0? |