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  "body": "\n## Summary\n\nIn mathematics, the **free factor complex** (sometimes also called the **complex of free factors**) is a [[free group|020Z5SEN27]] counterpart of the notion of the curve complex of a finite type surface. The free factor complex was originally introduced in a 1998 paper of Allen Hatcher and Karen Vogtmann. Like the curve complex, the free factor complex is known to be Gromov-hyperbolic. The free factor complex plays a significant role in the study of large-scale geometry of $\\operatorname{Out}(F_n)$.\n",
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