Displaying similar documents to “Groups with complete lattice of nearly normal subgroups.”

On some soluble groups in which U -subgroups form a lattice

Leonid A. Kurdachenko, Igor Ya. Subbotin (2007)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

The article is dedicated to groups in which the set of abnormal and normal subgroups ( U -subgroups) forms a lattice. A complete description of these groups under the additional restriction that every counternormal subgroup is abnormal is obtained.

On some properties of pronormal subgroups

Leonid Kurdachenko, Alexsandr Pypka, Igor Subbotin (2010)

Open Mathematics

Similarity:

New results on tight connections among pronormal, abnormal and contranormal subgroups of a group have been established. In particular, new characteristics of pronormal and abnormal subgroups have been obtained.

On transitivity of pronormality

Leonid A. Kurdachenko, Igor Ya. Subbotin (2002)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

This article is dedicated to soluble groups, in which pronormality is a transitive relation. Complete description of such groups is obtained.

Some lattice properties of normal-by-finite subgroups

Maria De Falco, Carmela Musella (2003)

Bollettino dell'Unione Matematica Italiana

Similarity:

A subgroup H of a group G is said to be normal-by-finite if the core H G of H in G has finite index in H . It has been proved by Buckley, Lennox, Neumann, Smith and Wiegold that if every subgroup of a group G is normal-by-finite, then G is abelian-by-finite, provided that all its periodic homomorphic images are locally finite. The aim of this article is to describe the structure of groups G for which the partially ordered set nf ⁢ G consisting of all normal-by-finite subgroups satisfies certain...