Preprint
Sep 2026
An automorphism tower of length $\kappa^+$
For any infinite cardinal $\kappa$, we give an example of a centerless group $G$ of cardinality $\kappa$ whose automorphism tower terminates after $\kappa^+$ steps, answering a question of Simon Thomas. The work on this paper was assisted by AI.
Yatir Halevi, Itay Kaplan
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