Timeline for When is the set of $n$-th powers in a group a subgroup? [closed]
Current License: CC BY-SA 4.0
15 events
| when toggle format | what | by | license | comment | |
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| Jul 18, 2019 at 21:40 | history | closed |
YCor user6976 Arturo Magidin LSpice Yemon Choi |
Needs more focus | |
| Jul 18, 2019 at 17:05 | history | edited | YCor | CC BY-SA 4.0 |
edited title
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| Jul 17, 2019 at 21:08 | answer | added | Ian Agol | timeline score: 3 | |
| Jul 17, 2019 at 20:20 | comment | added | Mohammad Radi | Derek Holt can you help me with some links or refrences for these conditions? | |
| Jul 17, 2019 at 20:05 | comment | added | LSpice | @RichardLyons's suggestions: regular $p$-group (and on EoM); powerful $p$-group. | |
| Jul 17, 2019 at 20:04 | comment | added | LSpice | Some clickable links: one example of @GeoffRobinson's suggestion, Alperin - A classification of $n$-Abelian groups (MSN). | |
| Jul 17, 2019 at 19:30 | history | edited | Arturo Magidin | CC BY-SA 4.0 |
sp
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| Jul 17, 2019 at 17:37 | comment | added | Derek Holt | But there are lots of sufficient conditions. You need to make it clearer what kind of condition you are looking for. | |
| Jul 17, 2019 at 17:32 | comment | added | Mohammad Radi | Mark sapir that is obvious..I am asking for a general case.. | |
| Jul 17, 2019 at 16:31 | comment | added | user6976 | If in $G$ every element is an $n$th power then $G_n=G$. For example if every element of $G$ has order co-prime with $n$, then $G_n=G$. | |
| Jul 17, 2019 at 14:54 | comment | added | Richard Lyons | Suppose that $G$ is a finite $p$-group. Then two such sufficient conditions are that $G$ be "regular", and that $G$ be "powerful". Wikipedia pages have good references for these concepts. | |
| Jul 17, 2019 at 14:50 | review | Close votes | |||
| Jul 18, 2019 at 21:40 | |||||
| Jul 17, 2019 at 14:36 | history | edited | Ben McKay | CC BY-SA 4.0 |
formatted LaTeX code in the question
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| Jul 17, 2019 at 14:35 | comment | added | Geoff Robinson | You might be interested to read the work of J.L. Alperin on n-Abelian groups.. | |
| Jul 17, 2019 at 14:27 | history | asked | Mohammad Radi | CC BY-SA 4.0 |