The fields of values of characters of degree not divisible by p
Abstract We study the fields of values of the irreducible characters of a finite group of degree not divisible by a prime p. In the case where $p=2$ , we fully characterise these fields. In order to accomplish this, we generalise the main result of [ILNT] to higher irrationalities. We do the same for odd primes, except that in this case the analogous results hold modulo a simple-to-state conjecture on the character values of quasi-simple groups.
2018 ◽
Vol 11
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pp. 1850096
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2016 ◽
Vol 15
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pp. 1650138
2010 ◽
Vol 20
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pp. 847-873
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2019 ◽
Vol 102
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pp. 77-90
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2016 ◽
Vol 09
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pp. 1650054