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Preprint Number 2619
2619. I Scott On effective constructions of existentially closed groups E-mail: Submission date: 17 April 2024 Abstract:
Existentially closed groups are, informally, groups that contain solutions to
every consistent finite system of equations and inequations. They were
introduced in 1951 in an algebraic context and subsequent research elucidated
deep connections with group theory and computability theory. We continue this
investigation, with particular emphasis on illuminating the relationship with
computability theory. Mathematics Subject Classification: Keywords and phrases: |
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