Timeline for Centre of solvable locally nilpotent groups
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 8, 2020 at 18:54 | history | became hot network question | |||
| Nov 8, 2020 at 13:15 | comment | added | ARG | oh yes...I messed up the question. So I was initially thinking of the torsion-free case... Ycor mentioned in his answer another way to make the the question less trivial (requiring that the centre of any quotient by a finite group to be finite). Either way, Ycor's answer covers them both. | |
| Nov 8, 2020 at 13:14 | vote | accept | ARG | ||
| Nov 8, 2020 at 12:32 | comment | added | Derek Holt | I am confused. There are infinite $p$-groups of nilpotency class $2$ with centre of order $p$, i.e. infinite extraspecial groups. | |
| Nov 8, 2020 at 12:13 | comment | added | YCor | I expect Example 2 can be adapted (by forcing the whole group to be metabelian) to answer your question. Anyway I posted an example which looks simpler to me. | |
| Nov 8, 2020 at 12:10 | answer | added | YCor | timeline score: 4 | |
| Nov 8, 2020 at 11:52 | history | edited | YCor | CC BY-SA 4.0 |
added "infinite" since otherwise there are trivial counterexamples
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| Nov 8, 2020 at 11:28 | history | edited | ARG | CC BY-SA 4.0 |
title was incomplete...
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| Nov 8, 2020 at 10:51 | history | asked | ARG | CC BY-SA 4.0 |