Solvable groups with many BFC-subgroups.

O. D. Artemovych

Publicacions Matemàtiques (2000)

  • Volume: 44, Issue: 2, page 491-501
  • ISSN: 0214-1493

Abstract

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We characterize the solvable groups without infinite properly ascending chains of non-BFC subgroups and prove that a non-BFC group with a descending chain whose factors are finite or abelian is a Cernikov group or has an infinite properly descending chain of non-BFC subgroups.

How to cite

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Artemovych, O. D.. "Solvable groups with many BFC-subgroups.." Publicacions Matemàtiques 44.2 (2000): 491-501. <http://eudml.org/doc/41407>.

@article{Artemovych2000,
abstract = {We characterize the solvable groups without infinite properly ascending chains of non-BFC subgroups and prove that a non-BFC group with a descending chain whose factors are finite or abelian is a Cernikov group or has an infinite properly descending chain of non-BFC subgroups.},
author = {Artemovych, O. D.},
journal = {Publicacions Matemàtiques},
keywords = {Grupos resolubles finitos; Grupos de Cernikov; Subgrupos maximales; non-BFC-subgroups; maximal condition; solvable groups},
language = {eng},
number = {2},
pages = {491-501},
title = {Solvable groups with many BFC-subgroups.},
url = {http://eudml.org/doc/41407},
volume = {44},
year = {2000},
}

TY - JOUR
AU - Artemovych, O. D.
TI - Solvable groups with many BFC-subgroups.
JO - Publicacions Matemàtiques
PY - 2000
VL - 44
IS - 2
SP - 491
EP - 501
AB - We characterize the solvable groups without infinite properly ascending chains of non-BFC subgroups and prove that a non-BFC group with a descending chain whose factors are finite or abelian is a Cernikov group or has an infinite properly descending chain of non-BFC subgroups.
LA - eng
KW - Grupos resolubles finitos; Grupos de Cernikov; Subgrupos maximales; non-BFC-subgroups; maximal condition; solvable groups
UR - http://eudml.org/doc/41407
ER -

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