Conjugacy separability of certain HNN extensions with normal associated subgroups

Conjugacy separability of certain HNN extensions with normal associated subgroups

In this paper, we will give necessary and sufficient conditions for certain HNNextensions of subgroup separable groups with normal associated subgroup to be conjugacyseparable. In fact, we will show that these HNN extensions are conjugacy separable if and onlyif the normalizer of one of its associat...

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Bibliographic Details
Main Authors: Kok Bin Wong, Peng Choon Wong
Format: Article
Language:English
Published: University of Isfahan 2016-12-01
Series:International Journal of Group Theory
Subjects:
Residual properties
Conjugacy separability
HNN extensions
Online Access:http://www.theoryofgroups.ir/article_9021_5b20379e91df928a3137f1607a1fb81c.pdf
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spelling doaj-ad38ef4d69604d99b330e7d445fe77a82020-11-24T21:26:58ZengUniversity of IsfahanInternational Journal of Group Theory2251-76502251-76692016-12-01541169021Conjugacy separability of certain HNN extensions with normal associated subgroupsKok Bin Wong0Peng Choon Wong1University of MalayaUniversity of MalayaIn this paper, we will give necessary and sufficient conditions for certain HNNextensions of subgroup separable groups with normal associated subgroup to be conjugacyseparable. In fact, we will show that these HNN extensions are conjugacy separable if and onlyif the normalizer of one of its associated subgroup is conjugacy separable.http://www.theoryofgroups.ir/article_9021_5b20379e91df928a3137f1607a1fb81c.pdfResidual propertiesConjugacy separabilityHNN extensions
collection DOAJ
language English
format Article
sources DOAJ
author Kok Bin Wong
Peng Choon Wong
spellingShingle Kok Bin Wong
Peng Choon Wong
Conjugacy separability of certain HNN extensions with normal associated subgroups
International Journal of Group Theory
Residual properties
Conjugacy separability
HNN extensions
author_facet Kok Bin Wong
Peng Choon Wong
author_sort Kok Bin Wong
title Conjugacy separability of certain HNN extensions with normal associated subgroups
title_short Conjugacy separability of certain HNN extensions with normal associated subgroups
title_full Conjugacy separability of certain HNN extensions with normal associated subgroups
title_fullStr Conjugacy separability of certain HNN extensions with normal associated subgroups
title_full_unstemmed Conjugacy separability of certain HNN extensions with normal associated subgroups
title_sort conjugacy separability of certain hnn extensions with normal associated subgroups
publisher University of Isfahan
series International Journal of Group Theory
issn 2251-7650
2251-7669
publishDate 2016-12-01
description In this paper, we will give necessary and sufficient conditions for certain HNNextensions of subgroup separable groups with normal associated subgroup to be conjugacyseparable. In fact, we will show that these HNN extensions are conjugacy separable if and onlyif the normalizer of one of its associated subgroup is conjugacy separable.
topic Residual properties
Conjugacy separability
HNN extensions
url http://www.theoryofgroups.ir/article_9021_5b20379e91df928a3137f1607a1fb81c.pdf
work_keys_str_mv AT kokbinwong conjugacyseparabilityofcertainhnnextensionswithnormalassociatedsubgroups
AT pengchoonwong conjugacyseparabilityofcertainhnnextensionswithnormalassociatedsubgroups
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