# Fusion categories containing a fusion subcategory with maximal rank

@inproceedings{Dong2021FusionCC, title={Fusion categories containing a fusion subcategory with maximal rank}, author={Jingcheng Dong and Gang Chen and Zhihua Wang}, year={2021} }

In this paper, we study fusion categories which contain a proper fusion subcategory with maximal rank. They can be viewed as generalizations of near-group fusion categories. We first prove that they admit spherical structure. We then classify those which are nondegenerate or symmetric. Finally, we classify such fusion categories of rank 4.

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