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The inductive blockwise Alperin weight condition for PSU(4, 3) and PSU(6, 2)
In this note, we prove the inductive blockwise Alperin weight condition for by establishing an equivariant bijection between 2-irreducible Brauer characters and 2-weights of the -cover of and for by establishing an equivariant bijection between 3-irreducible Brauer characters and 3-weights of the -c...
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| Published in: | Communications in algebra 2022-01, Vol.50 (1), p.54-72 |
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| Language: | English |
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| cited_by | cdi_FETCH-LOGICAL-c338t-eaf6993d814d33ae0286be192b81e0980fa16af8cb20373eef8cba9b0b6a211d3 |
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| cites | cdi_FETCH-LOGICAL-c338t-eaf6993d814d33ae0286be192b81e0980fa16af8cb20373eef8cba9b0b6a211d3 |
| container_end_page | 72 |
| container_issue | 1 |
| container_start_page | 54 |
| container_title | Communications in algebra |
| container_volume | 50 |
| creator | Du, Yucong |
| description | In this note, we prove the inductive blockwise Alperin weight condition for
by establishing an equivariant bijection between 2-irreducible Brauer characters and 2-weights of the
-cover of
and for
by establishing an equivariant bijection between 3-irreducible Brauer characters and 3-weights of the
-cover of
Thus the inductive blockwise Alperin weight condition holds for the simple groups
with
for every prime dividing its order, since the other cases are treated. |
| doi_str_mv | 10.1080/00927872.2021.1950746 |
| format | article |
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by establishing an equivariant bijection between 2-irreducible Brauer characters and 2-weights of the
-cover of
and for
by establishing an equivariant bijection between 3-irreducible Brauer characters and 3-weights of the
-cover of
Thus the inductive blockwise Alperin weight condition holds for the simple groups
with
for every prime dividing its order, since the other cases are treated.</description><identifier>ISSN: 0092-7872</identifier><identifier>EISSN: 1532-4125</identifier><identifier>DOI: 10.1080/00927872.2021.1950746</identifier><language>eng</language><publisher>Abingdon: Taylor & Francis</publisher><subject>Alperin weight conjecture ; the inductive blockwise Alperin weight condition</subject><ispartof>Communications in algebra, 2022-01, Vol.50 (1), p.54-72</ispartof><rights>2021 Taylor & Francis Group, LLC 2021</rights><rights>2021 Taylor & Francis Group, LLC</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c338t-eaf6993d814d33ae0286be192b81e0980fa16af8cb20373eef8cba9b0b6a211d3</citedby><cites>FETCH-LOGICAL-c338t-eaf6993d814d33ae0286be192b81e0980fa16af8cb20373eef8cba9b0b6a211d3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Du, Yucong</creatorcontrib><title>The inductive blockwise Alperin weight condition for PSU(4, 3) and PSU(6, 2)</title><title>Communications in algebra</title><description>In this note, we prove the inductive blockwise Alperin weight condition for
by establishing an equivariant bijection between 2-irreducible Brauer characters and 2-weights of the
-cover of
and for
by establishing an equivariant bijection between 3-irreducible Brauer characters and 3-weights of the
-cover of
Thus the inductive blockwise Alperin weight condition holds for the simple groups
with
for every prime dividing its order, since the other cases are treated.</description><subject>Alperin weight conjecture</subject><subject>the inductive blockwise Alperin weight condition</subject><issn>0092-7872</issn><issn>1532-4125</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LAzEQhoMoWKs_QQh4sdCtk2Q3m9wsxS8oKNieQ3Y3a1O3SU22lv57u7ZePc0MPO8M8yB0TWBEQMAdgKS5yOmIAiUjIjPIU36CeiRjNEkJzU5Rr2OSDjpHFzEuAUiWC9pD09nCYOuqTdnab4OLxpefWxsNHjdrE6zDW2M_Fi0uvatsa73DtQ_47X1-mw4xG2Dtqt-JDzEdXKKzWjfRXB1rH80fH2aT52T6-vQyGU-TkjHRJkbXXEpWCZJWjGkDVPDCEEkLQQxIAbUmXNeiLCiwnBnTtVoWUHBNCalYH90c9q6D_9qY2Kql3wS3P6kop5SLPM3knsoOVBl8jMHUah3sSoedIqA6cepPnOrEqaO4fe7-kLNu_-tKb31oKtXqXeNDHbQrbVTs_xU_xu9xtw</recordid><startdate>20220117</startdate><enddate>20220117</enddate><creator>Du, Yucong</creator><general>Taylor & Francis</general><general>Taylor & Francis Ltd</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20220117</creationdate><title>The inductive blockwise Alperin weight condition for PSU(4, 3) and PSU(6, 2)</title><author>Du, Yucong</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c338t-eaf6993d814d33ae0286be192b81e0980fa16af8cb20373eef8cba9b0b6a211d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Alperin weight conjecture</topic><topic>the inductive blockwise Alperin weight condition</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Du, Yucong</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts – Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Communications in algebra</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Du, Yucong</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The inductive blockwise Alperin weight condition for PSU(4, 3) and PSU(6, 2)</atitle><jtitle>Communications in algebra</jtitle><date>2022-01-17</date><risdate>2022</risdate><volume>50</volume><issue>1</issue><spage>54</spage><epage>72</epage><pages>54-72</pages><issn>0092-7872</issn><eissn>1532-4125</eissn><abstract>In this note, we prove the inductive blockwise Alperin weight condition for
by establishing an equivariant bijection between 2-irreducible Brauer characters and 2-weights of the
-cover of
and for
by establishing an equivariant bijection between 3-irreducible Brauer characters and 3-weights of the
-cover of
Thus the inductive blockwise Alperin weight condition holds for the simple groups
with
for every prime dividing its order, since the other cases are treated.</abstract><cop>Abingdon</cop><pub>Taylor & Francis</pub><doi>10.1080/00927872.2021.1950746</doi><tpages>19</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0092-7872 |
| ispartof | Communications in algebra, 2022-01, Vol.50 (1), p.54-72 |
| issn | 0092-7872 1532-4125 |
| language | eng |
| recordid | cdi_crossref_primary_10_1080_00927872_2021_1950746 |
| source | Taylor and Francis Science and Technology Collection |
| subjects | Alperin weight conjecture the inductive blockwise Alperin weight condition |
| title | The inductive blockwise Alperin weight condition for PSU(4, 3) and PSU(6, 2) |
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