Itay Kaplan

activity

20062026

most citedThe Borel cardinality of Lascar strong types

10 citations · 41 across the 29 of their papers we have counts for

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math.GR2026

An automorphism tower of length $κ^{+}$

Yatir Halevi, Itay Kaplan

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…

math.GR2017

Automorphism groups of finite topological rank

Itay Kaplan, Pierre Simon

We offer a criterion for showing that the automorphism group of an ultrahomogeneous structure is topologically 2-generated and even has a cyclically dense conjugacy class. We then…

An automorphism tower of length κ+

Automorphism groups of finite topological rank

An automorphism tower of length $κ^{+}$