Timeline for Finitely generated solvable groups all of whose abelian normal subgroups are finite
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Oct 5, 2019 at 21:43 | history | edited | YCor | CC BY-SA 4.0 |
added details of claims in comment; emphasized proved results
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| Nov 2, 2013 at 11:24 | comment | added | YCor | Probably yes: just consider a finite solvable group $F$ and consider the wreath product $G_p\wr F=G_p^F\rtimes F$. If $F$ has derived length $d$ then this has derived length between $d$ and $d+3$ (I'm lazy to check the exact number). | |
| Nov 2, 2013 at 10:52 | comment | added | Alireza Abdollahi | Many thanks. Is it possible to find such a group $G$ of any derived length $d>2$ such that $G$ is indecomposable? By an indecomposable group, I mean a group which cannot be written as a direct product of two nontrivial subgroups. | |
| Nov 2, 2013 at 10:45 | vote | accept | Alireza Abdollahi | ||
| Nov 2, 2013 at 10:39 | history | answered | YCor | CC BY-SA 3.0 |