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Preprint Number 1050
1050. Mike Haskel and Anand Pillay On maximal stable quotients of definable groups in NIP theories E-mail: Submission date: 3 June 2016 Abstract: 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. Mathematics Subject Classification: 03C45 Keywords and phrases: |
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