Timeline for Hopfian property preserved by extensions with finite kernel?
Current License: CC BY-SA 4.0
11 events
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Mar 21, 2020 at 16:53 | history | edited | YCor | CC BY-SA 4.0 |
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Jul 22, 2012 at 22:21 | history | edited | Fernando Muro |
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Apr 2, 2011 at 21:36 | answer | added | YCor | timeline score: 6 | |
Mar 27, 2011 at 10:53 | answer | added | user6976 | timeline score: 6 | |
Mar 23, 2011 at 10:07 | comment | added | Poove | @ ndkrempel: G has no normal subgroups isomorphic to a free abelian group of finite rank. (dont want to assume G is torsion free. | |
Mar 22, 2011 at 23:07 | comment | added | ndkrempel | @Poove: Must be a problem at your end. I meant conditions on G. Another possible condition would be to require G to be torsion-free, I think that's enough for the result to hold... It would be helpful if you gave more details about your particular G, if possible. | |
Mar 22, 2011 at 23:05 | history | edited | user6976 | CC BY-SA 2.5 |
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Mar 22, 2011 at 21:03 | comment | added | Poove | @ ndkrempel: why the math symbols are not readable here? did you mean the group G or H on which i would need stronger assumptions? sorry for disturbing | |
Mar 22, 2011 at 19:57 | comment | added | ndkrempel | I suspect you will need stronger assumptions on $G$, for example that any quotient of $G$ by one of its finite normal subgroups is Hopfian. | |
Mar 22, 2011 at 18:05 | history | edited | Kate Juschenko |
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Mar 22, 2011 at 17:45 | history | asked | Poove | CC BY-SA 2.5 |