| Authors: | Jovanović, Jelena Šešelja, Branimir Tepavčević, Andreja |
Affiliations: | Mathematics Mathematical Institute of the Serbian Academy of Sciences and Arts |
Title: | Nilpotent groups in lattice framework | Journal: | Algebra Universalis | Volume: | 85 | Issue: | 4 | First page: | 40 | Issue Date: | 2024 | Rank: | ~M23 | ISSN: | 0002-5240 | DOI: | 10.1007/s00012-024-00873-5 | Abstract: | In the framework of weak congruence lattices, many classes of groups have been characterized up to now, in completely lattice-theoretic terms. In this note, the center of the group is captured lattice-theoretically and nilpotent groups are characterized by lattice properties. |
Keywords: | Classes of groups | Lattice of subgroups | Lattice of weak congruences | Special elements in lattices | Publisher: | Springer Link | Project: | This research was supported by the Science Fund of the Republic of Serbia, # Grant no 6565, Advanced Techniques of Mathematical Aggregation and Approximative Equations Solving in Digital Operational Research- AT-MATADOR |
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