Kneser–Tits conjecture for simply connected isotropic almost simple groups
Kneser–Tits conjecture for simply connected isotropic almost simple groups
Let be the base field, and let be a simply connected, almost -simple, -isotropic algebraic group over . Let denote the abstract subgroup of generated by its unipotent elements. Kneser–Tits conjecture.
This is the Kneser–Tits generation problem for isotropic algebraic groups: it asks whether the rational points are generated by unipotent elements. The source gives no resolution status for the stated form.
Sources & referencesView supporting material
Primary source
Ningyuan Yao and Zhentao Zhang, “Newelski's Conjecture for o-Minimal and p-Adic Groups”, arXiv:2602.01810 (2026).
Additional references
2 papers in this index state this conjecture (2026). The statement above is taken from the most recent of them; the others are arXiv:2601.20565.
Progress summary
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