# A Jordan–Hölder theorem for weakly group-theoretical fusion categories

@article{Natale2015AJT,
title={A Jordan–H{\"o}lder theorem for weakly group-theoretical fusion categories},
author={Sonia Natale},
journal={Mathematische Zeitschrift},
year={2015},
volume={283},
pages={367-379}
}
• S. Natale
• Published 31 May 2015
• Mathematics
• Mathematische Zeitschrift
We prove a version of the Jordan–Hölder theorem in the context of weakly group-theoretical fusion categories. This allows us to introduce the composition factors and the length of such a fusion category $${\mathcal C}$$C, which are in fact Morita invariants of $${\mathcal C}$$C.
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