Submission date: 7 December 2016

Abstract:

In this note with study pro-definable groups with definable generics and we show that, in any theory, the notions of pro-definable groups with definable generics, pro-limits of definable groups with definable generics and group chunks over definable types are equivalent. We then use this result to describe certain groups definable in separably closed valued fields of finite imperfection degree in terms of groups definable in the algebraic closure.

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Full text arXiv 1612.02165: pdf, ps.