Generic algebraic properties in spaces of enumerated groups

We introduce and study Polish topologies on various spaces of countable enumerated groups, where an enumerated group is simply a group whose underlying set is the set of natural numbers. Using elementary tools and well-known examples from combinatorial group theory, combined with the Baire category...

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Veröffentlicht in:	Transactions of the American Mathematical Society 2023-09
Hauptverfasser:	Goldbring, Isaac, Kunnawalkam Elayavalli, Srivatsav, Lodha, Yash
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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