\(\kappa\)-existentially closed groups

DOI10.1016/J.JALGEBRA.2017.12.005zbMath1427.20002OpenAlexW2779609643MaRDI QIDQ1703096

Otto H. Kegel, Mahmut Kuzucuoǧlu

Publication date: 1 March 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2017.12.005

zbMATH Keywords

universal groupsinfinite symmetric groupsexistentially closed groupscentralizers of subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Subgroups of symmetric groups (20B35) Infinite automorphism groups (20B27)

Related Items (4)

Automorphisms of \(\kappa\)-existentially closed groups ⋮ Existentially and $\kappa$-existentially closed groups ⋮ On the existence of \(\kappa \)-existentially closed groups ⋮ Corrigendum and addendum to: ``Centralizers of finite subgroups in Hall's universal group.

Cites Work

• Combinatorial group theory.
• Centralizers of finite subgroups in Hall's universal group
• On algebraically closed groups
• Some Constructions for Locally Finite Groups
• Group Rings with Simple Augmentation Ideals
• Set Theory
• Algebraically Closed Groups
• Some Remarks on Commutators
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