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15.70 (2002)

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Do there exist groups of arbitrarily large cardinality that satisfy the minimum condition for subgroups?

Contributor: A. Yu. Olshanskii

Progress

*A positive answer is consistent with the ZFC axioms of set theory, and the consistency of a negative answer follows from the consistency of certain large cardinal assumptions (S. M. Corson, S. Shelah, Preprint, 2024, https://arxiv.org/pdf/2408.03201).

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