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Displaying similar documents to “The lattice of solid σ -subgroups of a retractable group”

Groups with Decomposable Set of Quasinormal Subgroups

de Falco, M., de Giovanni, F. (2001)

Serdica Mathematical Journal

Similarity:

A subgroup H of a group G is said to be quasinormal if HX = XH for all subgroups X of G. In this article groups are characterized for which the partially ordered set of quasinormal subgroups is decomposable.

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.