Timeline for Is there an almost-direct product decomposition for disconnected reductive algebraic groups?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Apr 27, 2013 at 22:42 | vote | accept | Maxime | ||
| Apr 26, 2013 at 2:40 | history | edited | Maxime | CC BY-SA 3.0 |
added 114 characters in body
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| Apr 25, 2013 at 14:03 | answer | added | Jim Humphreys | timeline score: 3 | |
| Apr 25, 2013 at 6:03 | answer | added | Will Sawin | timeline score: 3 | |
| Apr 25, 2013 at 5:47 | comment | added | user29283 | For "almost-direct product", you mean for $H$ and $K$ to have commuting images in $G$, right? Passing to the quotient by the identity component of $\mathcal{D}(G)$, the problem reduces to an extension $G$ of a finite group $F$ by a torus $T$. The semi-direct product of $\mathbf{Z}/(2)$ against GL$_1$ via inversion (or any finite group against a nontrivial action on a torus) is a counterexample, if I'm not misunderstanding the question. How would you like to rule these out? | |
| Apr 25, 2013 at 2:12 | history | asked | Maxime | CC BY-SA 3.0 |