| Authors: | Grulović, Milan Jovanović, Jelena Šešelja, Branimir Tepavčević, Andreja |
Affiliations: | Computer Science Mathematical Institute of the Serbian Academy of Sciences and Arts |
Title: | On classes of groups characterized by classes of lattices | Journal: | Czechoslovak Mathematical Journal | Volume: | 75 | Issue: | 4 | First page: | 1213 | Last page: | 1228 | Issue Date: | 1-Dec-2025 | Rank: | M22 | ISSN: | 0011-4642 | DOI: | 10.21136/CMJ.2025.0003-25 | Abstract: | Classes of groups are identified and characterized in lattice-theoretic terms, i.e., by common properties of the weak congruence lattices of groups in the class. In particular, the necessary and sufficient condition for a class of groups to be a variety has been given in terms of the lattice of weak congruences of groups. |
Keywords: | 08A30 | 20E15 | 20F99 | class of group | lattice of subgroup | lattice of weak congruence | special element in lattice | Publisher: | Institute of Mathematics of the Czech Academy of Sciences |
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