Timeline for Union of an ascending chain of subgroups in group $G$ isomorphic to subgroup $S_0\subseteq G$
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 4, 2019 at 6:23 | vote | accept | Dominic van der Zypen | ||
| Oct 4, 2019 at 6:22 | comment | added | YCor | in this precise case, if the field is uncountable, the union is isomorphic as a group to the subspaces of countable dimension. But it works if the field is countable. | |
| Oct 4, 2019 at 6:16 | comment | added | Dominic van der Zypen | Thanks @jameshanson for this beautifully simple argument - it didn't occur to me to look into cardinalities | |
| Oct 4, 2019 at 6:13 | history | answered | James E Hanson | CC BY-SA 4.0 |