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PreprintarXiv licencearXiv

On κ-existentially closed groups with few automorphisms

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.

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BibTeX
@misc{corson2026κexistentially,
  title = {{On $κ$-existentially closed groups with few automorphisms}},
  author = {Samuel M. Corson and Saharon Shelah},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.39700},
  eprint = {2610.39700},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.39700},
}
RIS
TY  - UNPB
TI  - On κ-existentially closed groups with few automorphisms
AU  - Samuel M. Corson
AU  - Saharon Shelah
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2610.39700
UR  - https://arxiv.org/abs/2610.39700
AB  - 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.
ER  -