Timeline for Finite p-groups and their fibered products
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 26, 2015 at 10:38 | vote | accept | Pablo | ||
| Mar 22, 2015 at 20:04 | answer | added | YCor | timeline score: 6 | |
| Mar 22, 2015 at 16:44 | comment | added | YCor | You can obtain all finite abelian $p$-groups $A$: indeed embed $A$ in the center $Z$ of a 2-generated $p$-group $G$ and consider the fibered product of $G$ with itself over $Z$. Then its quotient by the diagonal of $G$ in $G\times G$ is isomorphic to the quotient of $Z\times Z$ by its diagonal and hence admits $A$ as a quotient. | |
| Mar 22, 2015 at 16:13 | comment | added | Steve D | Wouldn't that limit the number of generators for such a group? | |
| Mar 22, 2015 at 15:28 | history | asked | Pablo | CC BY-SA 3.0 |