2 problems

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Margulis–Platonov conjecture
Margulis–Platonov conjecture. Every homomorphism of $\Gamma$ into a finite group extends continuously to $G_\Gamma$ and factors through a homomorphism
Conjectureopenadelic-rigidity arithmetic-groups congruence-subgroup-problemarXiv posted 2 days ago
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Adelic extension conjecture for commensurated subgroups
Adelic extension conjecture. The homomorphism $\varphi$ extends continuously to a homomorphism
Conjectureopenadelic-rigidity arithmetic-groups locally-compact-groupsarXiv posted 2 days ago

Margulis–Platonov conjecture