On maximal stable quotients of definable groups in NIP theories
classification
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definablesmalleststablesubgrouptype-definableboundedexistencegeneralizes
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For G a group definable in an NIP theory we prove that there is a smallest type-definable subgroup H of G such that the quotient G/H is stable. This generalizes the existence of G^00, the smallest type-definable subgroup of G of bounded index.
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