Realisierbarkeit von darstellungen endlicher gruppen in einheitswurzelkörpern |
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| Authors: | Frank Jonas |
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| Institution: | 1. Math. Institut der Universit?t, Bunsenstr. 3-5, 3400, G?ttingen, W.-Germany
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| Abstract: | Zusammenfassung LetD:G→GL(n,C) be an irreducible linear representation of a finite groupG with the characterX. IfD is realizible in Q(ξ
m
) and Q(ξ
m′
) we give a condition for then realizability ofD in Q(ξ(m′)). If the degreen is a prime ≠ 2, we show thatD realizible in Q(ξ
f
), wheref is the conductor of the abelian extensionQ(X)/Q. |
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| Keywords: | |
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