Timeline for Permutation characters and regular orbits
Current License: CC BY-SA 3.0
7 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| May 16, 2012 at 18:05 | comment | added | Alex B. | @Anvita You are right. Corrected. | |
| May 16, 2012 at 18:05 | history | edited | Alex B. | CC BY-SA 3.0 |
deleted 123 characters in body
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| May 14, 2012 at 3:01 | comment | added | Anvita | (contd)...some other character. In order for this to be a Brauer relation, $\theta$ must be a permutation character. But how do we know that it really is one? | |
| May 14, 2012 at 3:00 | comment | added | Anvita | @Alex: Thank you! I did not realize that there is a nontrivial and interesting theory behind all this. I still have one question though. You say that my question is equvalent to the existence of a nontrivial Brauer relation for $G$. Of course, if such a relation exists then the answer to the original question is negative. However, the converse is not so obvious to me. Suppose that the answer is negative, i.e. my permutation character $\chi=\sum_i\mathbb{C}[G/H_i]$, where all $H_i≠1$, has also the form $\chi$=$\rho$+$\theta$, where $\rho$ is the regular character and $\theta$ is ... (tbc) | |
| May 12, 2012 at 10:29 | history | edited | Alex B. | CC BY-SA 3.0 |
added 7 characters in body
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| May 12, 2012 at 6:25 | history | answered | Alex B. | CC BY-SA 3.0 |