Pronormality of Hall subgroups in finite simple groups
We prove that Hall subgroups of finite simple groups are pronormal. Thus we obtain an affirmative answer to Problem 17.45(a) of "Kourovka notebook".
Gespeichert in:
| Veröffentlicht in: | arXiv.org 2013-02 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | arXiv.org |
| container_volume | |
| creator | Vdovin, Evgeny P Revin, Danila O |
| description | We prove that Hall subgroups of finite simple groups are pronormal. Thus we obtain an affirmative answer to Problem 17.45(a) of "Kourovka notebook". |
| doi_str_mv | 10.48550/arxiv.1302.0931 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_1302_0931</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2085264465</sourcerecordid><originalsourceid>FETCH-LOGICAL-a515-4b2c52377f9cd7b68792b599039094a17fd23347cad1f04797f33976ead9f2923</originalsourceid><addsrcrecordid>eNotj0tLxDAUhYMgOIyzdyUB163Jzat3KYM6woAuZl_SRyRD29SkFeffO2NdHTgcDt9HyB1nuSyUYo82_vjvnAsGOUPBr8gKhOBZIQFuyCalI2MMtAGlxIrojxiGEHvb-elEg6M723U0zdVnDPOYqB-o84OfWpp8P3YtXfpbcu1sl9rNf67J4eX5sN1l-_fXt-3TPrOKq0xWUCsQxjisG1PpwiBUCpEJZCgtN645o0lT24Y7Jg0aJwQa3doGHSCINblfbv-cyjH63sZTeXErL27nwcMyGGP4mts0lccwx-GMVAIrFGgptRK_a2tQCg</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2085264465</pqid></control><display><type>article</type><title>Pronormality of Hall subgroups in finite simple groups</title><source>arXiv.org</source><source>Free E- Journals</source><creator>Vdovin, Evgeny P ; Revin, Danila O</creator><creatorcontrib>Vdovin, Evgeny P ; Revin, Danila O</creatorcontrib><description>We prove that Hall subgroups of finite simple groups are pronormal. Thus we obtain an affirmative answer to Problem 17.45(a) of "Kourovka notebook".</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.1302.0931</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Mathematics - Group Theory ; Subgroups</subject><ispartof>arXiv.org, 2013-02</ispartof><rights>2013. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,784,885,27925</link.rule.ids><backlink>$$Uhttps://doi.org/10.48550/arXiv.1302.0931$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.1134/S0037446612020231$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>Vdovin, Evgeny P</creatorcontrib><creatorcontrib>Revin, Danila O</creatorcontrib><title>Pronormality of Hall subgroups in finite simple groups</title><title>arXiv.org</title><description>We prove that Hall subgroups of finite simple groups are pronormal. Thus we obtain an affirmative answer to Problem 17.45(a) of "Kourovka notebook".</description><subject>Mathematics - Group Theory</subject><subject>Subgroups</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GOX</sourceid><recordid>eNotj0tLxDAUhYMgOIyzdyUB163Jzat3KYM6woAuZl_SRyRD29SkFeffO2NdHTgcDt9HyB1nuSyUYo82_vjvnAsGOUPBr8gKhOBZIQFuyCalI2MMtAGlxIrojxiGEHvb-elEg6M723U0zdVnDPOYqB-o84OfWpp8P3YtXfpbcu1sl9rNf67J4eX5sN1l-_fXt-3TPrOKq0xWUCsQxjisG1PpwiBUCpEJZCgtN645o0lT24Y7Jg0aJwQa3doGHSCINblfbv-cyjH63sZTeXErL27nwcMyGGP4mts0lccwx-GMVAIrFGgptRK_a2tQCg</recordid><startdate>20130205</startdate><enddate>20130205</enddate><creator>Vdovin, Evgeny P</creator><creator>Revin, Danila O</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20130205</creationdate><title>Pronormality of Hall subgroups in finite simple groups</title><author>Vdovin, Evgeny P ; Revin, Danila O</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a515-4b2c52377f9cd7b68792b599039094a17fd23347cad1f04797f33976ead9f2923</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Mathematics - Group Theory</topic><topic>Subgroups</topic><toplevel>online_resources</toplevel><creatorcontrib>Vdovin, Evgeny P</creatorcontrib><creatorcontrib>Revin, Danila O</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>arXiv Mathematics</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Vdovin, Evgeny P</au><au>Revin, Danila O</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Pronormality of Hall subgroups in finite simple groups</atitle><jtitle>arXiv.org</jtitle><date>2013-02-05</date><risdate>2013</risdate><eissn>2331-8422</eissn><abstract>We prove that Hall subgroups of finite simple groups are pronormal. Thus we obtain an affirmative answer to Problem 17.45(a) of "Kourovka notebook".</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.1302.0931</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | EISSN: 2331-8422 |
| ispartof | arXiv.org, 2013-02 |
| issn | 2331-8422 |
| language | eng |
| recordid | cdi_arxiv_primary_1302_0931 |
| source | arXiv.org; Free E- Journals |
| subjects | Mathematics - Group Theory Subgroups |
| title | Pronormality of Hall subgroups in finite simple groups |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-18T18%3A12%3A43IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_arxiv&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Pronormality%20of%20Hall%20subgroups%20in%20finite%20simple%20groups&rft.jtitle=arXiv.org&rft.au=Vdovin,%20Evgeny%20P&rft.date=2013-02-05&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.1302.0931&rft_dat=%3Cproquest_arxiv%3E2085264465%3C/proquest_arxiv%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2085264465&rft_id=info:pmid/&rfr_iscdi=true |