Timeline for Applications of Frobenius theorem and conjecture
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| May 17, 2021 at 14:20 | history | edited | Martin Sleziak | CC BY-SA 4.0 | http -> https (the question was bumped anyway) |
| May 7, 2014 at 18:52 | comment | added | Jesper M. Moller | @GeoffRobinson: Yes, the displayed formula shows that Brown's theorem and the $n=|G|_p$ case of Frobenius' theorem are equivalent. Thanks to your work with Marty Isaacs we know how to get from this special case to the general case of Frobenius' Theorem. Thus the theorems of Frobenius and Brown are equivalent. Let me mention the general relation $\sum \widetilde{\chi}(\mathcal{S}^*_{N_G(H)/H})=-1$ related to the displayed formula. | |
| May 7, 2014 at 16:06 | comment | added | Geoff Robinson | Actually, I find the displayed formula more interesting that Brown's Theorem. And it would appear that Brown's theorem implies the case of $n = |G|_{p}$ of Frobenius's theorem as well. In fact, in a paper of Marty Isaacs and myself, we showed that that case essentially is sufficient to do every $n.$ | |
| S May 7, 2014 at 14:07 | review | Late answers | |||
| May 7, 2014 at 14:08 | |||||
| S May 7, 2014 at 14:07 | review | First posts | |||
| May 7, 2014 at 14:10 | |||||
| May 7, 2014 at 13:48 | history | answered | Jesper M. Moller | CC BY-SA 3.0 |