The geometry of involutions in ranked groups with a TI-subgroup


Abstract in English

We revisit the geometry of involutions in groups of finite Morley rank. Our approach unifies and generalises numerous results, both old and recent, that have exploited this geometry; though in fact, we prove much more. We also conjecture that this path leads to a new identification theorem for $operatorname{PGL}_2(mathbb{K})$.

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