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.
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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 |