Breaz, Simion; Călugăreanu, Grigore Every Abelian group is determined by a subgroup lattice. (English) Zbl 1156.20024 Stud. Sci. Math. Hung. 45, No. 1, 135-137 (2008). Summary: We prove that every Abelian group \(G\) is determined up to an isomorphism by the subgroup lattice of the group \(\mathbb{Z}\times G\) and some other similar results. Cited in 3 Documents MSC: 20E15 Chains and lattices of subgroups, subnormal subgroups 20K27 Subgroups of abelian groups Keywords:Abelian groups; subgroup lattices; lattice determined groups PDFBibTeX XMLCite \textit{S. Breaz} and \textit{G. Călugăreanu}, Stud. Sci. Math. Hung. 45, No. 1, 135--137 (2008; Zbl 1156.20024) Full Text: DOI