Pronormality, contranormality and generalized nilpotency in infinite groups.

Leonid A. Kurdachenko; Igor Ya. Subbotin

Publicacions Matemàtiques (2003)

  • Volume: 47, Issue: 2, page 389-414
  • ISSN: 0214-1493

Abstract

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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.

How to cite

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Kurdachenko, Leonid A., and Subbotin, Igor Ya.. "Pronormality, contranormality and generalized nilpotency in infinite groups.." Publicacions Matemàtiques 47.2 (2003): 389-414. <http://eudml.org/doc/41477>.

@article{Kurdachenko2003,
abstract = {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.},
author = {Kurdachenko, Leonid A., Subbotin, Igor Ya.},
journal = {Publicacions Matemàtiques},
keywords = {Teoría de grupos; Grupos infinitos; FC-hypercentral groups; FC-nilpotent groups; nilpotency criteria; contranormal subgroups; pronormal subgroups; abnormal subgroups; transitive abnormality},
language = {eng},
number = {2},
pages = {389-414},
title = {Pronormality, contranormality and generalized nilpotency in infinite groups.},
url = {http://eudml.org/doc/41477},
volume = {47},
year = {2003},
}

TY - JOUR
AU - Kurdachenko, Leonid A.
AU - Subbotin, Igor Ya.
TI - Pronormality, contranormality and generalized nilpotency in infinite groups.
JO - Publicacions Matemàtiques
PY - 2003
VL - 47
IS - 2
SP - 389
EP - 414
AB - 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.
LA - eng
KW - Teoría de grupos; Grupos infinitos; FC-hypercentral groups; FC-nilpotent groups; nilpotency criteria; contranormal subgroups; pronormal subgroups; abnormal subgroups; transitive abnormality
UR - http://eudml.org/doc/41477
ER -

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