Zenkov Hypothesis on Pair $р$-Sylow Intersections of Chevalley Groups of Characteristic $р$
We present all Chevalley groups over a finite field of arbitrary characteristic p in which the index of the normalizer of any pair of Sylow p-subgroups is relatively prime with p.
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| Datum: | 2002 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2002
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4127 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510262822436864 |
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| author | Voitenko, T. Yu. Levchuk, V. M. Войтенко, Т. Ю. Левчук, В. Н. |
| author_facet | Voitenko, T. Yu. Levchuk, V. M. Войтенко, Т. Ю. Левчук, В. Н. |
| author_sort | Voitenko, T. Yu. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:23:13Z |
| description | We present all Chevalley groups over a finite field of arbitrary characteristic p in which the index of the normalizer of any pair of Sylow p-subgroups is relatively prime with p. |
| first_indexed | 2026-03-24T02:54:13Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4127 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:54:13Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/57/cd46af8416a3c8ce80304cc079c16a57.pdf |
| spelling | umjimathkievua-article-41272020-03-18T20:23:13Z Zenkov Hypothesis on Pair $р$-Sylow Intersections of Chevalley Groups of Characteristic $р$ Гипотеза В. И. Зенкова о парных $р$-силовских пересечениях групп Шевалле характеристики $р$ Voitenko, T. Yu. Levchuk, V. M. Войтенко, Т. Ю. Левчук, В. Н. We present all Chevalley groups over a finite field of arbitrary characteristic p in which the index of the normalizer of any pair of Sylow p-subgroups is relatively prime with p. Наведено всі групи Шевалле над скінченним полем довільної характеристики $р$, у яких індекс нормалізатора будь-якої пари силовських $р$-підгруп взаємно простий із $р$. Institute of Mathematics, NAS of Ukraine 2002-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4127 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 7 (2002); 907-918 Український математичний журнал; Том 54 № 7 (2002); 907-918 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4127/4963 https://umj.imath.kiev.ua/index.php/umj/article/view/4127/4964 Copyright (c) 2002 Voitenko T. Yu.; Levchuk V. M. |
| spellingShingle | Voitenko, T. Yu. Levchuk, V. M. Войтенко, Т. Ю. Левчук, В. Н. Zenkov Hypothesis on Pair $р$-Sylow Intersections of Chevalley Groups of Characteristic $р$ |
| title | Zenkov Hypothesis on Pair $р$-Sylow Intersections of Chevalley Groups of Characteristic $р$ |
| title_alt | Гипотеза В. И. Зенкова о парных $р$-силовских пересечениях групп Шевалле характеристики $р$ |
| title_full | Zenkov Hypothesis on Pair $р$-Sylow Intersections of Chevalley Groups of Characteristic $р$ |
| title_fullStr | Zenkov Hypothesis on Pair $р$-Sylow Intersections of Chevalley Groups of Characteristic $р$ |
| title_full_unstemmed | Zenkov Hypothesis on Pair $р$-Sylow Intersections of Chevalley Groups of Characteristic $р$ |
| title_short | Zenkov Hypothesis on Pair $р$-Sylow Intersections of Chevalley Groups of Characteristic $р$ |
| title_sort | zenkov hypothesis on pair $р$-sylow intersections of chevalley groups of characteristic $р$ |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4127 |
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