On the Exponent of Tensor Categories Coming from Finite Groups
نویسنده
چکیده
We describe the exponent of a group-theoretical fusion category C = C(G,ω, F, α) associated to a finite group G in terms of group cohomology. We show that the exponent of C divides both e(ω) expG and (expG), where e(ω) is the cohomological order of the 3-cocycle ω. In particular exp C divides (dim C).
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تاریخ انتشار 2008