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Many non-embeddable infinite groups
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DOI：10.1515/jgth-2025-0142.png)
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Abstract
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In an elementary way, we construct a family of pairwise non-embeddable torsion-free groups which contains 2 kappa 2<^>{\kappa} groups of cardinality kappa for every infinite cardinal number kappa up to the first strong limit cardinal of uncountable cofinality.
Keywords:
torsion-free groups
non-embeddable groups
infinite groups
cardinality
group theory