The Dade group of Mackey functors for p-groups

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• 作者：Olcay Coşkun^a ; ^b ; ^{olcay.coskun@boun.edu.tr" class="auth_mail" title="E-mail the corresponding author}
• 关键词：20C20 ; 19A22
• 刊名：Journal of Algebra
• 出版年：2017
• 出版时间：15 January 2017
• 年：2017
• 卷：470
• 期：Complete
• 页码：172-196
• 全文大小：441 K

文摘

We introduce endo-permutation Mackey functors and the Mackey–Dade group of a p-group and study their basic properties. We exhibit relations between the Mackey–Dade group of a finite p-group P and the Dade groups of the Weyl groups of all subgroups of P  . As a result, we show that the Mackey–Dade group tensored with class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0021869316303179&_mathId=si1.gif&_user=111111111&_pii=S0021869316303179&_rdoc=1&_issn=00218693&md5=f2674ff3b712fa75054c6671445afeaf" title="Click to view the MathML source">Qclass="mathContainer hidden">class="mathCode">$\mathbb{Q}$ over class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0021869316303179&_mathId=si2.gif&_user=111111111&_pii=S0021869316303179&_rdoc=1&_issn=00218693&md5=1e373ade4c889a4d04a20c2415117c82" title="Click to view the MathML source">Zclass="mathContainer hidden">class="mathCode">$\mathbb{Z}$ is the kernel of the linearization map for Mackey functors, introduced by the author.