Timeline for Non-simple groups $G$ with only non-trivial quotient isomorphic to $G$
Current License: CC BY-SA 4.0
5 events
when toggle format | what | by | license | comment | |
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Nov 28, 2023 at 19:08 | history | edited | Keith Kearnes | CC BY-SA 4.0 |
added 12 characters in body
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Nov 28, 2023 at 18:08 | history | edited | Keith Kearnes | CC BY-SA 4.0 |
edited body
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Nov 28, 2023 at 17:33 | comment | added | YCor | The result on abelian groups (which I mentioned in my post, although not aware that it's stated somewhere) is very easy because every nontrivial abelian group either has a finite quotient, or else is divisible and hence has a Prüfer quotient. A similar conclusion holds for modules over any fixed PID | |
Nov 28, 2023 at 17:32 | comment | added | YCor | The result on the congruence lattice is very nice! | |
Nov 28, 2023 at 15:19 | history | answered | Keith Kearnes | CC BY-SA 4.0 |