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PreprintCC BY 4.0arXiv

An automorphism tower of length κ+

  • Yatir Halevi
  • Itay Kaplan
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Abstract

For any infinite cardinal κ, we give an example of a centerless group G of cardinality κ whose automorphism tower terminates after κ+ steps, answering a question of Simon Thomas. The work on this paper was assisted by AI.

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Cite

BibTeXRIS
BibTeX
@misc{halevi2026automorphism,
  title = {{An automorphism tower of length $κ^+$}},
  author = {Yatir Halevi and Itay Kaplan},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.12010},
  eprint = {2609.12010},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.12010},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - An automorphism tower of length κ^+
AU  - Yatir Halevi
AU  - Itay Kaplan
PY  - 2026
DA  - 2026/09/10
PB  - arXiv
DO  - 10.48550/arxiv.2609.12010
UR  - https://arxiv.org/abs/2609.12010
AB  - For any infinite cardinal κ, we give an example of a centerless group G of cardinality κ whose automorphism tower terminates after κ^+ steps, answering a question of Simon Thomas. The work on this paper was assisted by AI.
ER  -