2005/11/04 by Sonia Natale, Natale, Sonia · 1 citation
Mathematics · #16W30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #math.QA #msc:16W30
paper · pdf · doi:10.48550/arxiv.math/0511123
22 pages, amslatex
arxiv created 2005/11/04 · openalex publication_date 2005/11/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We describe the exponent of a group-theoretical fusion category \mathcal C = \mathcal 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) exp G and (exp G)2, where e(ω) is the cohomological order of the 3-cocycle ω. In particular exp \C divides (dim \C)2.