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Preprint Number 1050

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1050. Mike Haskel and Anand Pillay
On maximal stable quotients of definable groups in NIP theories

Submission date: 3 June 2016


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:

Full text arXiv 1606.01182: pdf, ps.

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