Timeline for A name for the inverse image of the center of a quotient group?
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 14, 2015 at 12:25 | answer | added | Giuliano Bianco | timeline score: 1 | |
| Jul 4, 2013 at 17:49 | answer | added | Giuliano Bianco | timeline score: 1 | |
| Jul 4, 2013 at 11:04 | comment | added | Yassine Guerboussa | @ Jim Humphreys : There is some concepts depending on G and a subgroup, which in fact have names, for instance "centralizer" and "normalizer". | |
| Jul 4, 2013 at 8:55 | comment | added | Nick Gill | If you do a google search for preimage of the center you'll get a gajillion hits. So maybe go with that? | |
| Jul 4, 2013 at 0:29 | comment | added | Jim Humphreys | @Giuliano: I doubt that a name exists, since the concept depends not just on $G$ but also on which normal subgroup $A$ you work with. (Small side note: a letter like $H$ or $N$ might be better, not suggesting "abelian" as the letter $A$ does. Unless that special case is what you have in mind.) | |
| Jul 4, 2013 at 0:28 | comment | added | Ian Agol | How about "precenter"? | |
| Jul 3, 2013 at 17:39 | comment | added | Yassine Guerboussa | I think this is the occasion to ask specialists to suggest a nice name and notation. | |
| Jul 3, 2013 at 16:32 | comment | added | Arturo Magidin | I don't think it has a special name, except in the special case where $A=Z(G)$ (in which case you have the "second center", $Z_2(G)$), or more generally, obtained by such an iteration, producing the upper central series of $G$, $Z(G)=Z_1(G)\leq Z_2(G)\leq Z_3(G)\leq\cdots$. | |
| Jul 3, 2013 at 15:31 | history | edited | Giuliano Bianco | CC BY-SA 3.0 |
[Edit removed during grace period]
|
| Jul 3, 2013 at 15:02 | comment | added | Yassine Guerboussa | Without a name, the notation $Z(G mod A)$ is used by A. Mann in "Elements of minimal breadth...", J. Aust. Math. Soc. 81 (2006). | |
| Jul 3, 2013 at 13:22 | history | asked | Giuliano Bianco | CC BY-SA 3.0 |