Submission date: 8 September 2022

Abstract:

Given a T-rough definably amenable T-rough approximate subgroup A of a group in some first-order structure, there is a type-definable subgroup H normalised by A and contained in A^4 of bounded index in ⟨ A⟩.

Mathematics Subject Classification: 03C98, 11P70, 20A15

Keywords and phrases:

Full text arXiv 2209.03529: pdf, ps.