Timeline for Do you know any clear classification of groups in which there would exist a unique non-linear character of a given degree?
Current License: CC BY-SA 3.0
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| Nov 26, 2013 at 10:26 | comment | added | M. Zallaghi | @DerekHolt. With respect to my reference, I mean that the given group $G$ is finite and the "character" is "irreducible character". Thanks for help. | |
| Nov 26, 2013 at 8:42 | comment | added | Derek Holt | I am still unsure exactly what the question is. You would do better to write the question using formal mathematical language rather than trying to express it in words. You are looking for a classification of (presumably finite?) groups for which there exists an integer $d>0$ such that there is a unique (presumably irreducible?) character of degree $d$? I would be very surprised if it was possible to classify all finite groups satisfying that condition. | |
| Nov 25, 2013 at 20:59 | history | edited | M. Zallaghi | CC BY-SA 3.0 |
added 6 characters in body; edited title
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| Nov 25, 2013 at 20:08 | comment | added | Tobias Kildetoft | I am not sure I know what you mean. This does not seem to be an example of the existence of a non-linear character of a unique degree, but rather the existence of a unique character of a given degree. | |
| Nov 25, 2013 at 17:42 | history | asked | M. Zallaghi | CC BY-SA 3.0 |