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5. Functional Analysis, Operator Theory and Operator Algebras, Mathematical Physics

Examples of countable groups stable in permutations

Liviu Păunescu
Simion Stoilow Institute of Mathematics of the Romanian Academy, Bucharest, Romania

Abstract:

We introduce stability in permutations for systems of equations and show that it is a group property. We present the links between this notion and soficity for groups. We than show some examples of stable and non-stable groups.