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

top
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

top

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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.