Timeline for Common basis for permutation matrices
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Mar 15, 2020 at 15:51 | comment | added | Geoff Robinson | @LSpice : See this question |: mathoverflow.net/questions/240317/… | |
| Mar 15, 2020 at 15:37 | comment | added | LSpice | @GeoffRobinson, do you have a reference for that result? | |
| Mar 15, 2020 at 15:22 | history | edited | Denis Serre | CC BY-SA 4.0 |
added 12 characters in body
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| Mar 15, 2020 at 15:05 | comment | added | Geoff Robinson | Specifically, if $n_{1},n_{2}, \ldots, n_{t}$ are all the distinct values taken by ${\rm trace}(w(A,B))$ as $w(A,B)$ runs over all non-identity elements of $G$, then , assuming $G$ is finite, its order divides $(n-n_{1})(n-n_{2}) \ldots (n-n_{t})$. | |
| Mar 15, 2020 at 14:45 | comment | added | Geoff Robinson | Not only does $w(A,B)$ have integer trace, but also non-negative integer trace. This is actually enough to show that if $G$ is finite, then its order does indeed divide $n!$, by a result of Blichfeldt, which has appeared on MO in relation to several questions. | |
| Mar 15, 2020 at 14:09 | history | answered | Denis Serre | CC BY-SA 4.0 |