On some new developments in the theory of subgroup lattices of groups
Publish place: International Journal of Group Theory، Vol: 12، Issue: 3
Publish Year: 1402
Type: Journal paper
Language: English
View: 206
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JR_THEGR-12-3_002
Index date: 16 November 2022
On some new developments in the theory of subgroup lattices of groups 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.
On some new developments in the theory of subgroup lattices of groups Keywords:
On some new developments in the theory of subgroup lattices of groups authors
Maria De Falco
Dipartimento di Matematica e Applicazioni, Università di Napoli Federico II Napoli, Italy
Carmela Musella
Dipartimento di Matematica e Applicazioni, Università di Napoli Federico II Napoli, Italy
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