Timeline for Finite groups which have elements $g$ of order $pq$ such that the sizes of the conjugacy classes of $g^p$, of $g^q$ and of $g^{q-p}$ coincide
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Jun 17, 2015 at 16:05 | history | edited | Stefan Kohl♦ | CC BY-SA 3.0 |
Added an example where p is not equal to 2.
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| Jun 17, 2015 at 15:34 | comment | added | Anna | Sorry, you are right, it can happen in your example. But in your example $q-p=1$ so the size of conjugacy classes of $g^p$ and $g^q$ are equal with $|g^G|$. If $p\neq2$, then this equality happen? | |
| Jun 17, 2015 at 15:23 | comment | added | Stefan Kohl♦ | @milad: It can happen ... | |
| Jun 17, 2015 at 15:21 | comment | added | Anna | So it doesn't happen when $G$ is not cyclic? | |
| Jun 17, 2015 at 15:14 | history | answered | Stefan Kohl♦ | CC BY-SA 3.0 |