The integer group determinants for SmallGroup(16,13)
We obtain a complete description of the integer group determinants for SmallGroup(16,13), the central product of the dihedral group of order eight and cyclic group of order four. These values are the same as the integer group determinants for SmallGroup(16,11), the direct product of the dihedral gro...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | |
| container_volume | |
| creator | Serrano, Humberto Bautista Paudel, Bishnu Pinner, Chris |
| description | We obtain a complete description of the integer group determinants for
SmallGroup(16,13), the central product of the dihedral group of order eight and
cyclic group of order four.
These values are the same as the integer group determinants for
SmallGroup(16,11), the direct product of the dihedral group of order eight and
cyclic group of order two. It was not previously known that the integer group
determinants do not determine the group. |
| doi_str_mv | 10.48550/arxiv.2304.00321 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_2304_00321</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2304_00321</sourcerecordid><originalsourceid>FETCH-LOGICAL-a671-bf573b91248b6e1437afbc35511334512b806a12ee2c1625cda7a91847ac2dc13</originalsourceid><addsrcrecordid>eNotzrtqw0AQheFtUhgnD-AqWyYQyTs7e5HLYHwDQ4qoF7OrkSOQZLNWQvz2xk6qU_xw-ISYgcpNYa2aU_ptf3KNyuRKoYaJMOUXy3YY-cBJHtLx-yRrHjn17UDDeJbNMcnPnrpuc2sv4N4AXx_FQ0PdmZ_-dyrK9apcbrP9x2a3fN9n5DxkobEewwK0KYJjMOipCRGtBUA0FnQolCPQzDqC0zbW5GkBhfEUdR0Bp-L57_bOrk6p7Sldqhu_uvPxCpQ_PZk</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>The integer group determinants for SmallGroup(16,13)</title><source>arXiv.org</source><creator>Serrano, Humberto Bautista ; Paudel, Bishnu ; Pinner, Chris</creator><creatorcontrib>Serrano, Humberto Bautista ; Paudel, Bishnu ; Pinner, Chris</creatorcontrib><description>We obtain a complete description of the integer group determinants for
SmallGroup(16,13), the central product of the dihedral group of order eight and
cyclic group of order four.
These values are the same as the integer group determinants for
SmallGroup(16,11), the direct product of the dihedral group of order eight and
cyclic group of order two. It was not previously known that the integer group
determinants do not determine the group.</description><identifier>DOI: 10.48550/arxiv.2304.00321</identifier><language>eng</language><subject>Mathematics - Number Theory ; Mathematics - Representation Theory</subject><creationdate>2023-04</creationdate><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>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,777,882</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2304.00321$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2304.00321$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Serrano, Humberto Bautista</creatorcontrib><creatorcontrib>Paudel, Bishnu</creatorcontrib><creatorcontrib>Pinner, Chris</creatorcontrib><title>The integer group determinants for SmallGroup(16,13)</title><description>We obtain a complete description of the integer group determinants for
SmallGroup(16,13), the central product of the dihedral group of order eight and
cyclic group of order four.
These values are the same as the integer group determinants for
SmallGroup(16,11), the direct product of the dihedral group of order eight and
cyclic group of order two. It was not previously known that the integer group
determinants do not determine the group.</description><subject>Mathematics - Number Theory</subject><subject>Mathematics - Representation Theory</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotzrtqw0AQheFtUhgnD-AqWyYQyTs7e5HLYHwDQ4qoF7OrkSOQZLNWQvz2xk6qU_xw-ISYgcpNYa2aU_ptf3KNyuRKoYaJMOUXy3YY-cBJHtLx-yRrHjn17UDDeJbNMcnPnrpuc2sv4N4AXx_FQ0PdmZ_-dyrK9apcbrP9x2a3fN9n5DxkobEewwK0KYJjMOipCRGtBUA0FnQolCPQzDqC0zbW5GkBhfEUdR0Bp-L57_bOrk6p7Sldqhu_uvPxCpQ_PZk</recordid><startdate>20230401</startdate><enddate>20230401</enddate><creator>Serrano, Humberto Bautista</creator><creator>Paudel, Bishnu</creator><creator>Pinner, Chris</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20230401</creationdate><title>The integer group determinants for SmallGroup(16,13)</title><author>Serrano, Humberto Bautista ; Paudel, Bishnu ; Pinner, Chris</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a671-bf573b91248b6e1437afbc35511334512b806a12ee2c1625cda7a91847ac2dc13</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Mathematics - Number Theory</topic><topic>Mathematics - Representation Theory</topic><toplevel>online_resources</toplevel><creatorcontrib>Serrano, Humberto Bautista</creatorcontrib><creatorcontrib>Paudel, Bishnu</creatorcontrib><creatorcontrib>Pinner, Chris</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Serrano, Humberto Bautista</au><au>Paudel, Bishnu</au><au>Pinner, Chris</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The integer group determinants for SmallGroup(16,13)</atitle><date>2023-04-01</date><risdate>2023</risdate><abstract>We obtain a complete description of the integer group determinants for
SmallGroup(16,13), the central product of the dihedral group of order eight and
cyclic group of order four.
These values are the same as the integer group determinants for
SmallGroup(16,11), the direct product of the dihedral group of order eight and
cyclic group of order two. It was not previously known that the integer group
determinants do not determine the group.</abstract><doi>10.48550/arxiv.2304.00321</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | DOI: 10.48550/arxiv.2304.00321 |
| ispartof | |
| issn | |
| language | eng |
| recordid | cdi_arxiv_primary_2304_00321 |
| source | arXiv.org |
| subjects | Mathematics - Number Theory Mathematics - Representation Theory |
| title | The integer group determinants for SmallGroup(16,13) |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-18T08%3A02%3A15IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=The%20integer%20group%20determinants%20for%20SmallGroup(16,13)&rft.au=Serrano,%20Humberto%20Bautista&rft.date=2023-04-01&rft_id=info:doi/10.48550/arxiv.2304.00321&rft_dat=%3Carxiv_GOX%3E2304_00321%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |