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Abstract: We give a general exposition of model theoretic connected components ofgroups. We show that if a group G has NIP, then there exists the smallestinvariant over some small set subgroup of G with bounded index Theorem 5.3.This result extends theorem of Shelah. We consider also in this context themultiplicative and the additive groups of some rings including infite fields.



Author: Jakub Gismatullin

Source: https://arxiv.org/







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