Groups in which Every Subgroup of Infinite Rank is Nearly Permutable

In this paper, the structure of locally finite groups of infinite rank whose subgroups of infinite rank have finite index in a permutable subgroup is investigated.

Bibliographic Details
Main Authors: A.V. De Luca, R. Ialenti
Format: Article
Language:English
Published: Aracne 2017-06-01
Series:Advances in Group Theory and Applications
Subjects:
Online Access:http://www.advgrouptheory.com/journal/Volumes/4/A.V.%20De%20Luca,%20R.%20Ialenti%20-%20Groups%20in%20which%20every%20subgroup%20of%20infinite%20rank%20is%20nearly%20permutable.pdf
id doaj-8545e7f4c9614afa88e86204c497e403
record_format Article
spelling doaj-8545e7f4c9614afa88e86204c497e4032020-11-24T23:50:21ZengAracneAdvances in Group Theory and Applications2499-12872499-12872017-06-014536410.4399/97888255086974Groups in which Every Subgroup of Infinite Rank is Nearly PermutableA.V. De Luca0R. Ialenti1Università degli Studi della Campania "Luigi Vanvitell"iUniversità degli Studi di Napoli Federico IIIn this paper, the structure of locally finite groups of infinite rank whose subgroups of infinite rank have finite index in a permutable subgroup is investigated.http://www.advgrouptheory.com/journal/Volumes/4/A.V.%20De%20Luca,%20R.%20Ialenti%20-%20Groups%20in%20which%20every%20subgroup%20of%20infinite%20rank%20is%20nearly%20permutable.pdfnearly permutable subgroupgroup of infinite rank
collection DOAJ
language English
format Article
sources DOAJ
author A.V. De Luca
R. Ialenti
spellingShingle A.V. De Luca
R. Ialenti
Groups in which Every Subgroup of Infinite Rank is Nearly Permutable
Advances in Group Theory and Applications
nearly permutable subgroup
group of infinite rank
author_facet A.V. De Luca
R. Ialenti
author_sort A.V. De Luca
title Groups in which Every Subgroup of Infinite Rank is Nearly Permutable
title_short Groups in which Every Subgroup of Infinite Rank is Nearly Permutable
title_full Groups in which Every Subgroup of Infinite Rank is Nearly Permutable
title_fullStr Groups in which Every Subgroup of Infinite Rank is Nearly Permutable
title_full_unstemmed Groups in which Every Subgroup of Infinite Rank is Nearly Permutable
title_sort groups in which every subgroup of infinite rank is nearly permutable
publisher Aracne
series Advances in Group Theory and Applications
issn 2499-1287
2499-1287
publishDate 2017-06-01
description In this paper, the structure of locally finite groups of infinite rank whose subgroups of infinite rank have finite index in a permutable subgroup is investigated.
topic nearly permutable subgroup
group of infinite rank
url http://www.advgrouptheory.com/journal/Volumes/4/A.V.%20De%20Luca,%20R.%20Ialenti%20-%20Groups%20in%20which%20every%20subgroup%20of%20infinite%20rank%20is%20nearly%20permutable.pdf
work_keys_str_mv AT avdeluca groupsinwhicheverysubgroupofinfiniterankisnearlypermutable
AT rialenti groupsinwhicheverysubgroupofinfiniterankisnearlypermutable
_version_ 1725478947030827008