Minimal bounded index subgroup for dependent theories

2006/03/28 by Saharon Shelah, Shelah, Saharon · 1 citation
Mathematics · #Advanced Operator Algebra Research #Advanced Topology and Set Theory #FOS: Mathematics #Functional Equations Stability Results #Logic (math.LO)

paper · pdf · doi:10.48550/arxiv.math/0603652

openalex publication_date 2006/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a dependent theory T, in C_T for every type definable group G, the intersection of type definable subgroups with bounded index is a type definable subgroup with bounded index.

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