Dipartimento di Matematica e Applicazioni, Università di Napoli Federico II Napoli, Italy
10.22108/ijgt.2022.132076.1771
Abstract
A rather natural way for trying to obtain a lattice-theoretic characterization of a class of groups ${\mathcal X}$ is to replace the concepts appearing in the definition of ${\mathcal X}$ by lattice-theoretic concepts. The first to use this idea were Kontorovi\v{c} and Plotkin who in 1954 introduced the notion of modular chain in a lattice, as translation of a central series of a group, to determine a lattice-theoretic characterization of the class of torsion-free nilpotent groups. The aim of this paper is to present a recent application of this translation method to some generalized nilpotency properties.
De Falco, M., Musella, C. (2022). On some new developments in the theory of subgroup lattices of groups. International Journal of Group Theory, (), -. doi: 10.22108/ijgt.2022.132076.1771
MLA
Maria De Falco; Carmela Musella. "On some new developments in the theory of subgroup lattices of groups". International Journal of Group Theory, , , 2022, -. doi: 10.22108/ijgt.2022.132076.1771
HARVARD
De Falco, M., Musella, C. (2022). 'On some new developments in the theory of subgroup lattices of groups', International Journal of Group Theory, (), pp. -. doi: 10.22108/ijgt.2022.132076.1771
VANCOUVER
De Falco, M., Musella, C. On some new developments in the theory of subgroup lattices of groups. International Journal of Group Theory, 2022; (): -. doi: 10.22108/ijgt.2022.132076.1771
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