Group-theoretical property of non-degenerate fusion categories of FP-dimension $p^2{q}^3$ and $p^3{q}^3$

Abstract

In this paper, we show that non-degenerate fusion categories of FP-dimensions $p^2{q}^{3}d$ and $p^3{q}^{3}d$ are group-theoretical, where $p,q$ are odd primes, $d$ is a square-free integer such that $(pq,d)=1$.

7 pages

References in corpus (2)

• Group-theoretical properties of nilpotent modular categories
• On $G$--equivariant modular categories