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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