Timeline for residually finite-by-$\mathbb{Z}$ groups are residually finite
Current License: CC BY-SA 3.0
6 events
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| Oct 21, 2011 at 17:29 | comment | added | YCor | yes sorry of course... I had the counterexamples in mind. As you point out, we need the extension be split (cf Osin's answer). Btw I think there are much easier examples than Deligne's (which relies on CSP and more) of finite-by-(residually finite) groups that are not residually finite. | |
| Oct 18, 2011 at 12:12 | history | edited | Andreas Thom | CC BY-SA 3.0 |
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| Oct 18, 2011 at 9:53 | vote | accept | ADL | ||
| Oct 18, 2011 at 9:15 | comment | added | HJRW | Yves - Deligne gave a counterexample to this. Or have I misunderstood you? In Andreas' answer, the point is that the extension splits. | |
| Oct 17, 2011 at 17:12 | history | edited | Andreas Thom | CC BY-SA 3.0 |
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| Oct 17, 2011 at 17:00 | history | answered | Andreas Thom | CC BY-SA 3.0 |