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
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author Kurdachenko, Leonid A.
author2 Subbotin, Igor Ya
author2_role author
author_browse Kurdachenko, Leonid A.
Subbotin, Igor Ya
author_facet Kurdachenko, Leonid A.
Subbotin, Igor Ya
author_role author
collection Dipòsit Digital de Documents de la UAB
description 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.
eu_rights_str_mv openAccess
format article
id ES_18ad5dfe9ca85287c8b7bbc7698a76d5
institution Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
language eng
network_acronym_str ES
network_name_str España
oai_identifier_str oai:ddd.uab.cat:2014
publishDate 2003
publishDateSort 2003
reponame_str Dipòsit Digital de Documents de la UAB
spelling Pronormality, contranormality and generalized nilpotency in infinite groups Kurdachenko, Leonid A. Subbotin, Igor Ya FC-hypercentral groups FC-nilpotent groups Nilpotency criteria Contranormal subgroups Pronormal subgroups Abnormal subgroups Transitive relations 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. https://ddd.uab.cat/record/2014 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_47203_05
spellingShingle Pronormality, contranormality and generalized nilpotency in infinite groups
Kurdachenko, Leonid A.
FC-hypercentral groups
FC-nilpotent groups
Nilpotency criteria
Contranormal subgroups
Pronormal subgroups
Abnormal subgroups
Transitive relations
title Pronormality, contranormality and generalized nilpotency in infinite groups
title_full Pronormality, contranormality and generalized nilpotency in infinite groups
title_fullStr Pronormality, contranormality and generalized nilpotency in infinite groups
title_full_unstemmed Pronormality, contranormality and generalized nilpotency in infinite groups
title_short Pronormality, contranormality and generalized nilpotency in infinite groups
title_sort Pronormality, contranormality and generalized nilpotency in infinite groups
topic FC-hypercentral groups
FC-nilpotent groups
Nilpotency criteria
Contranormal subgroups
Pronormal subgroups
Abnormal subgroups
Transitive relations
topic_facet FC-hypercentral groups
FC-nilpotent groups
Nilpotency criteria
Contranormal subgroups
Pronormal subgroups
Abnormal subgroups
Transitive relations
url https://ddd.uab.cat/record/2014
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_47203_05