On Noncyclic Norm of Infinite Locally Finite Groups

We study relationships between the properties of a group and its noncyclic norm. We obtain a description of infinite locally finite groups whose noncyclic norms are non-Dedekind.

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Datum:2002
Hauptverfasser: Lukashova, T. D., Лукашова, Т. Д.
Format: Artikel
Sprache:Ukrainisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2002
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/4070
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл: Pdf

Institution

Ukrains’kyi Matematychnyi Zhurnal
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author Lukashova, T. D.
Лукашова, Т. Д.
author_facet Lukashova, T. D.
Лукашова, Т. Д.
author_sort Lukashova, T. D.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
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datestamp_date 2020-03-18T20:20:31Z
description We study relationships between the properties of a group and its noncyclic norm. We obtain a description of infinite locally finite groups whose noncyclic norms are non-Dedekind.
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spelling umjimathkievua-article-40702020-03-18T20:20:31Z On Noncyclic Norm of Infinite Locally Finite Groups Про нециклічну норму нескінченних локально скінченних груп Lukashova, T. D. Лукашова, Т. Д. We study relationships between the properties of a group and its noncyclic norm. We obtain a description of infinite locally finite groups whose noncyclic norms are non-Dedekind. Вивчаються зв'язки між властивостями групи та її нециклічної норми. Одержано опис нескінченних локально скінченних груп, нециклічна норма яких недедекіндова. Institute of Mathematics, NAS of Ukraine 2002-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4070 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 3 (2002); 342-349 Український математичний журнал; Том 54 № 3 (2002); 342-349 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4070/4850 https://umj.imath.kiev.ua/index.php/umj/article/view/4070/4851 Copyright (c) 2002 Lukashova T. D.
spellingShingle Lukashova, T. D.
Лукашова, Т. Д.
On Noncyclic Norm of Infinite Locally Finite Groups
title On Noncyclic Norm of Infinite Locally Finite Groups
title_alt Про нециклічну норму нескінченних локально скінченних груп
title_full On Noncyclic Norm of Infinite Locally Finite Groups
title_fullStr On Noncyclic Norm of Infinite Locally Finite Groups
title_full_unstemmed On Noncyclic Norm of Infinite Locally Finite Groups
title_short On Noncyclic Norm of Infinite Locally Finite Groups
title_sort on noncyclic norm of infinite locally finite groups
url https://umj.imath.kiev.ua/index.php/umj/article/view/4070
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AT lukašovatd proneciklíčnunormuneskínčennihlokalʹnoskínčennihgrup