{"paper":{"title":"More Abelian groups with free duals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GN","math.LO"],"primary_cat":"math.GR","authors_text":"George M. Bergman","submitted_at":"2011-04-19T18:29:33Z","abstract_excerpt":"In answer to a question of A. Blass, J. Irwin and G. Schlitt, a subgroup G of the additive group Z^{\\omega} is constructed whose dual, Hom(G,Z), is free abelian of rank 2^{\\aleph_0}. The question of whether Z^{\\omega} has subgroups whose duals are free of still larger rank is discussed, and some further classes of subgroups of Z^{\\omega} are noted."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.3827","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}