Groups with the Minimal Condition on Non-“Nilpotent-by-Finite” Subgroups

Artemovych, O.

Serdica Mathematical Journal (2002)

  • Volume: 28, Issue: 2, page 153-162
  • ISSN: 1310-6600

Abstract

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We characterize the groups which do not have non-trivial perfect sections and such that any strictly descending chain of non-“nilpotent-by-finite” subgroups is finite.

How to cite

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Artemovych, O.. "Groups with the Minimal Condition on Non-“Nilpotent-by-Finite” Subgroups." Serdica Mathematical Journal 28.2 (2002): 153-162. <http://eudml.org/doc/11552>.

@article{Artemovych2002,
abstract = {We characterize the groups which do not have non-trivial perfect sections and such that any strictly descending chain of non-“nilpotent-by-finite” subgroups is finite.},
author = {Artemovych, O.},
journal = {Serdica Mathematical Journal},
keywords = {Nilpotent-by-Finite Group; Minimal Non-“Nilpotent-by-Finite” Group; Minimal Condition},
language = {eng},
number = {2},
pages = {153-162},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Groups with the Minimal Condition on Non-“Nilpotent-by-Finite” Subgroups},
url = {http://eudml.org/doc/11552},
volume = {28},
year = {2002},
}

TY - JOUR
AU - Artemovych, O.
TI - Groups with the Minimal Condition on Non-“Nilpotent-by-Finite” Subgroups
JO - Serdica Mathematical Journal
PY - 2002
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 28
IS - 2
SP - 153
EP - 162
AB - We characterize the groups which do not have non-trivial perfect sections and such that any strictly descending chain of non-“nilpotent-by-finite” subgroups is finite.
LA - eng
KW - Nilpotent-by-Finite Group; Minimal Non-“Nilpotent-by-Finite” Group; Minimal Condition
UR - http://eudml.org/doc/11552
ER -

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