Displaying similar documents to “A lattice of homomorphs”

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.

Convexities of lattice ordered groups

Ján Jakubík (1996)

Mathematica Bohemica

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In this paper an injective mapping of the class of all infinite cardinals into the collection of all convexities of lattice ordered groups is constructed; this generalizes an earlier result on convexities of d -groups.