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Local conjugacy in prosolvable groups

Michael C. Burkhart

Palomar Registrypalomar/PALOMAR-2026-10-01-000005Oct 1, 2026math.GRscore 0

Lean 4 formalization of all eleven numbered results and both counterexamples in Local conjugacy in prosolvable groups, arXiv:2609.37678v1. Closed supplements of a pronilpotent normal subgroup are conjugate exactly when locally conjugate under the stated structural hypotheses. Continuous nonabelian cohomology has the stated primary restriction decomposition. Local inclusion and fixed-point results, the GL(2,3) quaternion counterexample, and the order-162 Heisenberg wreath-product counterexample are formalized.

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