Timeline for A representation of a finite group where every nonzero vector has a trivial stabilizer
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 9, 2021 at 16:40 | comment | added | Geoff Robinson | I am not sure about an explicit reference: the group is $\langle a, b : a^{7} = b^{9} = 1, b^{-1}ab = a^{2} \rangle..$ There is a $3$-dimensional representation, where $a$ may be represented by $\left(\begin{array}{clcr} \omega & 0 & 0\\0&\omega^{2} & 0\\0&0&\omega^{4}\end{array} \right)$, ($\omega$ a primitive complex $7$-th root of unity) and $b$ may be represented by $\left( \begin{array}{clcr} 0&\alpha &0\\0&0&\alpha\\ \alpha & 0 & 0 \end{array} \right)$, where $\alpha$ is a primitive $9$-the root of unity. | |
| May 9, 2021 at 16:11 | comment | added | rj7k8 | Is there a reference discussing that Frobenius complement of order 63, and its 3D representation you mention? | |
| Jul 19, 2015 at 18:32 | history | edited | Geoff Robinson | CC BY-SA 3.0 |
Added general remarks
|
| Jul 17, 2015 at 10:38 | history | edited | Geoff Robinson | CC BY-SA 3.0 |
added extra information + typos
|
| Jul 17, 2015 at 9:57 | history | answered | Geoff Robinson | CC BY-SA 3.0 |