[{"data":1,"prerenderedAt":4},["ShallowReactive",2],{"5VKgmGCYCp":3},"# Formalization of the Classification of Finite Simple Groups\n\nWork in progress.\n\n## Finished Theorems\n\n### (a) The Odd Order Theorem (Feit–Thompson)\n\nEvery finite group of odd order is solvable.\n\n### (b) The Strongly Embedded Subgroup Theorem (Bender–Suzuki)\n\nIf $X$ is a finite simple group containing a strongly embedded subgroup, then $X \\cong L_2(2^n)$, ${}^2B_2(2^{n/2})$, or $U_3(2^n)$ for some $n\\ge 2$.\n\n### (c) Gorenstein–Walter theorem\n\nThe classification of finite groups with a dihedral Sylow 2-subgroup.\n\n## Auditable statements\n\n```\nlake exe cache get\nlake build lean4export\nlake exe comparator comparator/config.json\n```\n\n## Publications\n\n- [FormaTheoria: Constructing Large-Scale Lean Theories from Mathematical Literature](https://arxiv.org/abs/2608.10894). Tianjiao Nie, Ao Zhang, Yusen Tang, Damiano Testa, Shing-Tung Yau, Peng Li, Yuan Zhou. arXiv:2608.10894.\n",1793473243156]