Timeline for The nilpotency class and the derived length of a $p$-group
Current License: CC BY-SA 3.0
6 events
when toggle format | what | by | license | comment | |
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Mar 25, 2018 at 17:18 | vote | accept | sebastian | ||
Mar 23, 2018 at 8:02 | comment | added | Yiftach Barnea | Another stupid observation any group of class 2 satisfies this condition. Thus, as observed by the answer below, a classification is unlikely. Maybe a more sensible question is to ask for a group of order $p^n$ what is the maximal class for which such equality can still be achieved? | |
Mar 23, 2018 at 7:34 | answer | added | zibadawa timmy | timeline score: 4 | |
Mar 22, 2018 at 23:40 | comment | added | Yiftach Barnea | I don't have any deep thoughts about it, but just an observation that if the class is very large, then the coclass is small and then the derived length is also small. So you won't have equality in this case. | |
Mar 22, 2018 at 19:58 | history | edited | YCor | CC BY-SA 3.0 |
wrote lfloor rfloor for clarity
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Mar 22, 2018 at 19:48 | history | asked | sebastian | CC BY-SA 3.0 |