On Sylow Subgroups of Some Shunkov Groups

We study Shunkov groups with the following condition: the normalizer of any finite nontrivial subgroup has an almost layer-finite periodic part. Under this condition, we establish the structure of Sylow 2-subgroups in this group.

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Datum:2015
Hauptverfasser: Senashov, V. I., Сенашов, В. И.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2015
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/1991
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Senashov, V. I.
Сенашов, В. И.
Сенашов, В. И.
author_facet Senashov, V. I.
Сенашов, В. И.
Сенашов, В. И.
author_sort Senashov, V. I.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
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datestamp_date 2019-12-05T09:48:08Z
description We study Shunkov groups with the following condition: the normalizer of any finite nontrivial subgroup has an almost layer-finite periodic part. Under this condition, we establish the structure of Sylow 2-subgroups in this group.
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spelling umjimathkievua-article-19912019-12-05T09:48:08Z On Sylow Subgroups of Some Shunkov Groups О силовских подгруппах некоторых групп Шункова Senashov, V. I. Сенашов, В. И. Сенашов, В. И. We study Shunkov groups with the following condition: the normalizer of any finite nontrivial subgroup has an almost layer-finite periodic part. Under this condition, we establish the structure of Sylow 2-subgroups in this group. Вивчаються групи Шункова з умовою: нормалiзатор будь-якої скінченної нетривiальної підгрупи має майже шарово скінченну періодичну частину. При цій умові у групі встановлено будову силовських 2-підгруп. Institute of Mathematics, NAS of Ukraine 2015-03-25 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/1991 Ukrains’kyi Matematychnyi Zhurnal; Vol. 67 No. 3 (2015); 397-405 Український математичний журнал; Том 67 № 3 (2015); 397-405 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/1991/1001 Copyright (c) 2015 Senashov V. I.
spellingShingle Senashov, V. I.
Сенашов, В. И.
Сенашов, В. И.
On Sylow Subgroups of Some Shunkov Groups
title On Sylow Subgroups of Some Shunkov Groups
title_alt О силовских подгруппах некоторых групп Шункова
title_full On Sylow Subgroups of Some Shunkov Groups
title_fullStr On Sylow Subgroups of Some Shunkov Groups
title_full_unstemmed On Sylow Subgroups of Some Shunkov Groups
title_short On Sylow Subgroups of Some Shunkov Groups
title_sort on sylow subgroups of some shunkov groups
url https://umj.imath.kiev.ua/index.php/umj/article/view/1991
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