On maximal stable quotients of definable groups in NIP theories

Mike Haskel; Anand Pillay

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arXiv · 1606.01182

On maximal stable quotients of definable groups in NIP theories

Mike Haskel·Anand Pillay

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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.

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BibTeX RIS

Mike Haskel, Anand Pillay. 2016-06-03. On maximal stable quotients of definable groups in NIP theories. https://arxiv.org/abs/1606.01182

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