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arXiv · 2401.17962

Many non-embeddable infinite groups

Gerald Kuba
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Abstract

Let K be a set of infinite cardinals such that the cardinality of K is the first strong limit cardinal greater than uncountably many strong limit cardinals. We construct a family of pairwise non-embeddable groups which contains 2^k groups of order k for every cardinal number k in K. (In particular, in this family small groups are never embeddable in large groups.)

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Gerald Kuba. 2024-01-31. Many non-embeddable infinite groups. https://arxiv.org/abs/2401.17962

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