Displaying similar documents to “Solitary quotients 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.

Groups with complete lattice of nearly normal subgroups.

Maria De Falco, Carmela Musella (2002)

Revista Matemática Complutense

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A subgroup H of a group G is said to be nearly normal in G if it has finite index in its normal closure in G. A well-known theorem of B.H. Neumann states that every subgroup of a group G is nearly normal if and only if the commutator subgroup G' is finite. In this article, groups in which the intersection and the join of each system of nearly normal subgroups are likewise nearly normal are considered, and some sufficient conditions for such groups to be finite-by-abelian are given. ...