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Frobenius-Perron Dimensions of Conjugacy Classes and an Ito-Michler-Type Result in Modular Fusion Categories

Published 8 Oct 2024 in math.QA, math.CT, and math.RT | (2410.05709v2)

Abstract: The influence of certain arithmetic conditions on the sizes of conjugacy classes of a finite group on the group structure has been extensively studied in recent years. In this paper, we explore analogous properties for fusion categories. In particular, we establish an Ito-Michler-type result for modular fusion categories.

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Authors (1)

  1. S. Burciu 

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