Existentially and $\kappa$-existentially closed groups

A group $G$ is existentially closed (algebraically closed) if every finite system of equations and in-equations that has coefficients in $G$ and has a solution in an overgroup $H\geq G$ has a solution in $G$. Existentially closed groups were introduced by W. R. Scott in 1951. B. H. Neumann posed the...

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Bibliographic Details
Main Authors: Burak Kaya, Mahmut Kuzucuoğlu
Format: Article
Language:English
Published: University of Isfahan 2023-03-01
Series:International Journal of Group Theory
Subjects:
Online Access:https://ijgt.ui.ac.ir/article_26352_bb5dd75b306e31d26a0a4627b820259e.pdf