Abstract
We study the higher Frobenius-Schur indicators of the representations of the Drinfel'd double of a finite group G, in particular the question as to when all the indicators are integers. This turns out to be an interesting group-theoretic question. We show that many groups have this property, such as alternating and symmetric groups, PSL2(q), M11, M12 and regular nilpotent groups. However we show there is an irregular nilpotent group of order 5 6 with non-integer indicators.
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