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

Mario Mainardis

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Displaying similar documents to “A simple proof of Baer;s and Sato's theorems on lattice-isomorphisms between groups”

On lattice dual-homomorphisms between finite groups

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Solitary quotients of finite groups

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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.