Many non-embeddable infinite groups
Gerald Kuba · arXiv (Cornell University) · 2024
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.)