Authors: | Grulović, Milan Jovanović, Jelena Šešelja, Branislav Tepavčević, Andreja |
Affiliations: | Computer Science |
Title: | Lattice characterization of some classes of groups by series of subgroups |
Journal: | International Journal of Algebra and Computation |
Issue Date: | 2022 |
Rank: | ~M23 |
ISSN: | 0218-1967 |
DOI: | 10.1142/S0218196723500121 |
Abstract: | In this paper, we characterize several classes of groups by the properties of their weak congruence lattices. Namely, we give necessary and sufficient conditions for the weak congruence lattice of a group, under which this group is a T-group, T-group, metacyclic, cocyclic, hyperabelian, polycyclic, N-group and Ñ-group. We also discuss groups for which all subgroups are simple, like the Tarski mons... |
Publisher: | World Scientific |
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