Journal of Algebra
Let Dω(G) be the twisted quantum double of a finite group, G, where ω∈Z3(G,C∗). For each n∈N, there exists an ω such that D(G) and Dω(E) have isomorphic fusion algebras, where G is an extraspecial 2-group with 22n+1 elements, and E is an elementary abelian group with |E|=|G|.
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Goff, C. D.
A family of isomorphic fusion algebras of twisted quantum doubles of finite groups.
Journal of Algebra, 259(2), 494–511.