feat: add Fitting's theorem eval problem#315
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This PR adds Fitting's theorem (1938): the join of two normal nilpotent subgroups is nilpotent. Foundational structural result that justifies talking about *the* maximal normal nilpotent subgroup of a finite group (the Fitting subgroup F(G)), basic in CFSG local analysis through F(G) and the generalised Fitting subgroup F*(G) = F(G)·E(G) (Bender 1971). Uses Mathlib's `Group.IsNilpotent` and the subgroup lattice — no new definitions. 🤖 Prepared with Claude Code
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This PR adds Fitting's theorem (1938): the join of two normal nilpotent subgroups of any group is nilpotent. Foundational structural result that justifies talking about the maximal normal nilpotent subgroup of a finite group (the Fitting subgroup
F(G)), basic in CFSG local analysis throughF(G)and the generalised Fitting subgroupF*(G) = F(G)·E(G)(Bender 1971).Uses Mathlib's
Group.IsNilpotentand the subgroup lattice — no new definitions.🤖 Prepared with Claude Code