Timeline for Union of an ascending chain of subgroups in group $G$ isomorphic to subgroup $S_0\subseteq G$ [closed]
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 7, 2019 at 15:55 | history | closed |
YCor user44191 Emil Jeřábek David Handelman Neil Hoffman |
Not suitable for this site | |
| Oct 4, 2019 at 6:35 | review | Close votes | |||
| Oct 7, 2019 at 15:55 | |||||
| Oct 4, 2019 at 6:23 | vote | accept | Dominic van der Zypen | ||
| Oct 4, 2019 at 6:16 | comment | added | YCor | Obviously not. For instance if the chain has no maximum and each $C$ is infinite cyclic, then the union is not cyclic (the union cannot be finitely generated). For example $\mathbf{Z}[1/2]=\bigcup\frac1{2^n}\mathbf{Z}$ and $\mathbf{Q}=\bigcup\frac1{n!}\mathbf{Z}$. | |
| Oct 4, 2019 at 6:13 | answer | added | James E Hanson | timeline score: 6 | |
| Oct 4, 2019 at 6:06 | history | asked | Dominic van der Zypen | CC BY-SA 4.0 |