Number theory · Oct 6, 2026

The Margulis–Platonov conjecture over global fields

Proves the Margulis–Platonov conjecture over every global field, including function fields of characteristic two. For an absolutely almost simple simply connected algebraic group G over k, every noncentral abstract normal subgroup of G(k)G(k) is the inverse image of an open normal subgroup in the finite product of its anisotropic nonarchimedean local groups.

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