TY - JOUR
T1 - Group-Theoretical Property of Slightly Degenerate Fusion Categories of Certain Frobenius-Perron Dimensions
AU - Yu , Zhiqiang
AU - Zheng , Ying
JO - Journal of Mathematical Study
VL - 1
SP - 103
EP - 110
PY - 2022
DA - 2022/11
SN - 56
DO - http://doi.org/10.4208/jms.v56n1.23.04
UR - https://global-sci.org/intro/article_detail/jms/21230.html
KW - Group-theoretical fusion category, slightly degenerate fusion category.
AB - <p style="text-align: justify;">Let $p, q$ be odd primes, and let $d$ be an odd square-free integer such that $(pq,d)=1$. We show that slightly degenerate fusion categories of Frobenius-Perron dimensions $2p^2q^2d$, $2p^2q^3d$ and $2p^3q^3d$ are group-theoretical.</p>