Timeline for Rational conjugation of elements of a finite group
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Nov 21, 2014 at 20:05 | comment | added | Frieder Ladisch | In fact, this seems to be a duplicate of the question linked by @YemonChoi, only that the question here is formulated a little better. I have made my comment an answer to the old question, which already had an answer. I think this question can be closed as duplicate. | |
| Nov 20, 2014 at 16:37 | comment | added | Nick Gill | @FriederLadisch, make this an answer! | |
| Nov 20, 2014 at 0:02 | comment | added | Yemon Choi | An earlier question which may be related to this one? mathoverflow.net/questions/186581/… | |
| Nov 19, 2014 at 12:47 | comment | added | Frieder Ladisch | The answer is yes, and I think this is clear, once you have shown that there is a well-defined action of $H$ on the conjugacy classes: Let $\varepsilon$ be a primitive $|G|$-th root of unity. Then the Galois group $\Gamma$ of $\mathbb{Q}(\varepsilon)/\mathbb{Q}$ acts on the conjugacy classes, and $H$ is a factor group of $\Gamma $. It is well known and not difficult to show that the orbits of $\Gamma$ are the rational conjugacy classes. (c.f. Serre, Linear Representations of Finite Groups, §12.4.) | |
| Nov 19, 2014 at 10:20 | history | edited | Stefan Kohl♦ | CC BY-SA 3.0 |
Language editing, and added top-level tags.
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| Nov 19, 2014 at 8:09 | history | edited | Simon Rose | CC BY-SA 3.0 |
used \langle and \rangle instead of < and >
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| Nov 19, 2014 at 8:03 | review | First posts | |||
| Nov 19, 2014 at 8:05 | |||||
| Nov 19, 2014 at 8:00 | history | asked | elsa haghi | CC BY-SA 3.0 |