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Displaying similar documents to “On lattice dual-homomorphisms between finite groups”

Solitary quotients of finite groups

Marius Tărnăuceanu (2012)

Open Mathematics

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We introduce and study the lattice of normal subgroups of a group G that determine solitary quotients. It is closely connected to the well-known lattice of solitary subgroups of G, see [Kaplan G., Levy D., Solitary subgroups, Comm. Algebra, 2009, 37(6), 1873–1883]. A precise description of this lattice is given for some particular classes of finite groups.

A simple proof of Baer;s and Sato's theorems on lattice-isomorphisms between groups

Mario Mainardis (1992)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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A simple proof is given of a well-known result of the existance of lattice-isomorphisms between locally nilpotent quaternionfree modular groups and abelian groups.