Timeline for a p-group with special property on one maximal abelian subgroup
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Apr 14, 2017 at 9:24 | comment | added | Derek Holt | @AlirezaAbdollahi That is not true, the dihedral group of order $16$ has a maximal abelian subgroup of order $4$ that is not normal. | |
| Apr 14, 2017 at 6:44 | comment | added | Maryam | @Alireza, I think the converse of your assertion is correct. I mean, every maximal normal abelian subgroups are maximal abelian. | |
| Apr 14, 2017 at 3:27 | comment | added | Alireza Abdollahi | @Maryam The condition ``$x$ normalize $A$" is superfluous, since in nilpotent groups maximal abelian subgroups are normal. | |
| S Apr 13, 2017 at 15:04 | history | suggested | maryam | CC BY-SA 3.0 |
a quantifier is added
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| Apr 13, 2017 at 13:55 | review | Suggested edits | |||
| S Apr 13, 2017 at 15:04 | |||||
| Apr 13, 2017 at 11:50 | comment | added | Derek Holt | Assuming that the missing quantifier is "there exists", another example is the group of upper unitriangular matrices in ${\rm GL}(n,p)$, which does not have maximal class for $n>2$ (although the subgroup $\langle x,A \rangle$ has maximal class). | |
| Apr 13, 2017 at 10:23 | history | asked | Maryam | CC BY-SA 3.0 |