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  1. Definable groups in dense pairs of geometric structures.Alexander Berenstein & Evgueni Vassiliev - 2022 - Archive for Mathematical Logic 61 (3):345-372.
    We study definable groups in dense/codense expansions of geometric theories with a new predicate P such as lovely pairs and expansions of fields by groups with the Mann property. We show that in such expansions, large definable subgroups of groups definable in the original language \ are also \-definable, and definably amenable \-definable groups remain amenable in the expansion. We also show that if the underlying geometric theory is NIP, and G is a group definable in a model of T, (...)
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