Groups with finitely many conjugacy classes of non-normal subgroups of infinite rank

Maria De Falco; Francesco de Giovanni; Carmela Musella

Colloquium Mathematicae (2013)

  • Volume: 131, Issue: 2, page 233-239
  • ISSN: 0010-1354

Abstract

top
It is proved that if a locally soluble group of infinite rank has only finitely many non-trivial conjugacy classes of subgroups of infinite rank, then all its subgroups are normal.

How to cite

top

Maria De Falco, Francesco de Giovanni, and Carmela Musella. "Groups with finitely many conjugacy classes of non-normal subgroups of infinite rank." Colloquium Mathematicae 131.2 (2013): 233-239. <http://eudml.org/doc/284208>.

@article{MariaDeFalco2013,
abstract = {It is proved that if a locally soluble group of infinite rank has only finitely many non-trivial conjugacy classes of subgroups of infinite rank, then all its subgroups are normal.},
author = {Maria De Falco, Francesco de Giovanni, Carmela Musella},
journal = {Colloquium Mathematicae},
keywords = {conjugacy classes of subgroups; groups of finite rank; subgroups of infinite rank; locally soluble groups},
language = {eng},
number = {2},
pages = {233-239},
title = {Groups with finitely many conjugacy classes of non-normal subgroups of infinite rank},
url = {http://eudml.org/doc/284208},
volume = {131},
year = {2013},
}

TY - JOUR
AU - Maria De Falco
AU - Francesco de Giovanni
AU - Carmela Musella
TI - Groups with finitely many conjugacy classes of non-normal subgroups of infinite rank
JO - Colloquium Mathematicae
PY - 2013
VL - 131
IS - 2
SP - 233
EP - 239
AB - It is proved that if a locally soluble group of infinite rank has only finitely many non-trivial conjugacy classes of subgroups of infinite rank, then all its subgroups are normal.
LA - eng
KW - conjugacy classes of subgroups; groups of finite rank; subgroups of infinite rank; locally soluble groups
UR - http://eudml.org/doc/284208
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.