On $κ$-existentially closed groups with few automorphisms

We give constructions of $κ$-existentially closed groups having few automorphisms, giving negative solutions to a question of Kaya and Kuzucuoğlu in the Kourovka Notebook.

Authors

Samuel M. Corson (ORCID: https://orcid.org/0000-0003-0050-2724)
Saharon Shelah (ORCID: https://orcid.org/0000-0003-0462-3152)

Publication Details

Journal: arXiv (Cornell University)
Published: 2026-10-29
DOI: https://doi.org/10.48550/arxiv.2610.39700
Primary Topic: Advanced Topology and Set Theory
Type: preprint

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preprint

On $κ$-existentially closed groups with few automorphisms

Samuel M. Corson, Saharon Shelah

Oct 29, 2026

arXiv (Cornell University)

Advanced Topology and Set Theory

preprint

On $κ$-existentially closed groups with few automorphisms

Samuel M. Corson, Saharon Shelah

October 29, 2026preprint en

Abstract

We give constructions of $κ$-existentially closed groups having few automorphisms, giving negative solutions to a question of Kaya and Kuzucuoğlu in the Kourovka Notebook.

arXiv (Cornell University)

Advanced Topology and Set Theory

DOI Open Access PDF OpenAlex

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On $κ$-existentially closed groups with few automorphisms — Samuel M. Corson, Saharon Shelah · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS