Timeline for No non-trivial homomorphism to a group
Current License: CC BY-SA 3.0
8 events
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Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
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Apr 13, 2017 at 12:19 | history | edited | CommunityBot |
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Dec 20, 2011 at 2:58 | vote | accept | Ehsan M. Kermani | ||
Dec 20, 2011 at 1:35 | answer | added | Benjamin Steinberg | timeline score: 5 | |
Dec 20, 2011 at 1:24 | comment | added | Benjamin Steinberg | Richard, he said H is torsion-free so in particular not finite. | |
Dec 20, 2011 at 1:23 | comment | added | Benjamin Steinberg | Doesn't the answer to Florent's question answer yours? The acc implies finitely generated and by the answer to that question all fg images are finite. | |
Dec 20, 2011 at 1:22 | comment | added | Autumn Kent | If $G$ is finite, it's false. So I guess you should take $G$ infinite. Do you want to show that there is no injective homomorphism $G \to H$? Because then you just need to show that $G$ fails to have the ascending condition. Hint: $G$ is uncountable. If that isn't what you mean, then take $G$ profinite and let $H$ be a finite quotient. Or am I missing something? | |
Dec 20, 2011 at 1:10 | history | asked | Ehsan M. Kermani | CC BY-SA 3.0 |