Many non-embeddable infinite groups

Kuba, Gerald

doi:10.1515/jgth-2025-0142

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Many non-embeddable infinite groups

2026-02-01

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Kuba, Gerald *

DOI：10.1515/jgth-2025-0142

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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