Vertices of Modules and Decomposition Numbers of C2 ≀ Sn
Given n ∈ N , we consider the imprimitive wreath product C 2 ≀ S n . We study the structure of the p -modular reduction of modules whose ordinary characters form an involution model of C 2 ≀ S n , where p is an odd prime. We describe the vertices of these modules, and we use this description of the...
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| Veröffentlicht in: | Algebras and representation theory 2020, Vol.23 (1), p.95-123 |
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| container_start_page | 95 |
| container_title | Algebras and representation theory |
| container_volume | 23 |
| creator | Kochhar, Jasdeep |
| description | Given
n
∈
N
, we consider the imprimitive wreath product
C
2
≀
S
n
. We study the structure of the
p
-modular reduction of modules whose ordinary characters form an involution model of
C
2
≀
S
n
, where
p
is an odd prime. We describe the vertices of these modules, and we use this description of the vertices to determine certain decomposition numbers of
C
2
≀
S
n
. |
| doi_str_mv | 10.1007/s10468-018-9839-8 |
| format | Article |
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n
∈
N
, we consider the imprimitive wreath product
C
2
≀
S
n
. We study the structure of the
p
-modular reduction of modules whose ordinary characters form an involution model of
C
2
≀
S
n
, where
p
is an odd prime. We describe the vertices of these modules, and we use this description of the vertices to determine certain decomposition numbers of
C
2
≀
S
n
.</description><identifier>ISSN: 1386-923X</identifier><identifier>EISSN: 1572-9079</identifier><identifier>DOI: 10.1007/s10468-018-9839-8</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Apexes ; Associative Rings and Algebras ; Commutative Rings and Algebras ; Decomposition ; Mathematics ; Mathematics and Statistics ; Modular structures ; Modules ; Non-associative Rings and Algebras</subject><ispartof>Algebras and representation theory, 2020, Vol.23 (1), p.95-123</ispartof><rights>Springer Nature B.V. 2018</rights><rights>2018© Springer Nature B.V. 2018</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c1138-e07b1a9b056aaeaf8b48c17eaba76535510b2c0fa2647d4bbca5ac98f53603f93</cites><orcidid>0000-0003-4742-3070</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10468-018-9839-8$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10468-018-9839-8$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,777,781,27905,27906,41469,42538,51300</link.rule.ids></links><search><creatorcontrib>Kochhar, Jasdeep</creatorcontrib><title>Vertices of Modules and Decomposition Numbers of C2 ≀ Sn</title><title>Algebras and representation theory</title><addtitle>Algebr Represent Theor</addtitle><description>Given
n
∈
N
, we consider the imprimitive wreath product
C
2
≀
S
n
. We study the structure of the
p
-modular reduction of modules whose ordinary characters form an involution model of
C
2
≀
S
n
, where
p
is an odd prime. We describe the vertices of these modules, and we use this description of the vertices to determine certain decomposition numbers of
C
2
≀
S
n
.</description><subject>Apexes</subject><subject>Associative Rings and Algebras</subject><subject>Commutative Rings and Algebras</subject><subject>Decomposition</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Modular structures</subject><subject>Modules</subject><subject>Non-associative Rings and Algebras</subject><issn>1386-923X</issn><issn>1572-9079</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp1kLlOAzEURS0EEiHwAXQjURue7fFGh8IqBShYRGfZjgdNlIyDnSnoaPlNvgSHQaKierc49z7pIHRI4JgAyJNMoBYKA1FYK6ax2kIjwiXFGqTeLpkpgTVlL7toL-c5AGihyAidPoe0bn3IVWyq2zjrFyXabladBx-Xq5jbdRu76q5fupB-oAmtvj4_qoduH-00dpHDwe8do6fLi8fJNZ7eX91MzqbYk_IVB5COWO2AC2uDbZSrlScyWGel4IxzAo56aCwVtZzVznnLrdeq4UwAazQbo6Nhd5XiWx_y2sxjn7ry0lBWa1lLqqBQZKB8ijmn0JhVapc2vRsCZqPIDIpMUWQ2iowqHTp0cmG715D-lv8vfQPz3miX</recordid><startdate>2020</startdate><enddate>2020</enddate><creator>Kochhar, Jasdeep</creator><general>Springer Netherlands</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0003-4742-3070</orcidid></search><sort><creationdate>2020</creationdate><title>Vertices of Modules and Decomposition Numbers of C2 ≀ Sn</title><author>Kochhar, Jasdeep</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c1138-e07b1a9b056aaeaf8b48c17eaba76535510b2c0fa2647d4bbca5ac98f53603f93</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Apexes</topic><topic>Associative Rings and Algebras</topic><topic>Commutative Rings and Algebras</topic><topic>Decomposition</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Modular structures</topic><topic>Modules</topic><topic>Non-associative Rings and Algebras</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kochhar, Jasdeep</creatorcontrib><collection>CrossRef</collection><jtitle>Algebras and representation theory</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kochhar, Jasdeep</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Vertices of Modules and Decomposition Numbers of C2 ≀ Sn</atitle><jtitle>Algebras and representation theory</jtitle><stitle>Algebr Represent Theor</stitle><date>2020</date><risdate>2020</risdate><volume>23</volume><issue>1</issue><spage>95</spage><epage>123</epage><pages>95-123</pages><issn>1386-923X</issn><eissn>1572-9079</eissn><abstract>Given
n
∈
N
, we consider the imprimitive wreath product
C
2
≀
S
n
. We study the structure of the
p
-modular reduction of modules whose ordinary characters form an involution model of
C
2
≀
S
n
, where
p
is an odd prime. We describe the vertices of these modules, and we use this description of the vertices to determine certain decomposition numbers of
C
2
≀
S
n
.</abstract><cop>Dordrecht</cop><pub>Springer Netherlands</pub><doi>10.1007/s10468-018-9839-8</doi><tpages>29</tpages><orcidid>https://orcid.org/0000-0003-4742-3070</orcidid></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1386-923X |
| ispartof | Algebras and representation theory, 2020, Vol.23 (1), p.95-123 |
| issn | 1386-923X 1572-9079 |
| language | eng |
| recordid | cdi_proquest_journals_2349747280 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Apexes Associative Rings and Algebras Commutative Rings and Algebras Decomposition Mathematics Mathematics and Statistics Modular structures Modules Non-associative Rings and Algebras |
| title | Vertices of Modules and Decomposition Numbers of C2 ≀ Sn |
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