Pronormality, contranormality and generalized nilpotency in infinite groups

This article is dedicated to some criteria of generalized nilpotency involving pronormality and abnormality. Also new results on groups, in which abnormality is a transitive relation, have been obtained.

Bibliographic Details
Authors: Kurdachenko, Leonid A., Subbotin, Igor Ya
Format: article
Publication Date:2003
Country:España
Institution:Universitat Autònoma de Barcelona
Repository:Dipòsit Digital de Documents de la UAB
Language:English
OAI Identifier:oai:ddd.uab.cat:2014
Online Access:https://ddd.uab.cat/record/2014
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_47203_05
Access Level:Open access
Keyword:FC-hypercentral groups
FC-nilpotent groups
Nilpotency criteria
Contranormal subgroups
Pronormal subgroups
Abnormal subgroups
Transitive relations
Description
Summary:This article is dedicated to some criteria of generalized nilpotency involving pronormality and abnormality. Also new results on groups, in which abnormality is a transitive relation, have been obtained.