dc.contributor.author Coşkun O. en_US dc.contributor.author Yalçin, E. en_US dc.date.accessioned 2016-02-08T10:03:37Z dc.date.available 2016-02-08T10:03:37Z dc.date.issued 2009 en_US dc.identifier.issn 0022-4049 dc.identifier.uri http://hdl.handle.net/11693/22701 dc.description.abstract We generalize the fundamental theorem for Burnside rings to the mark morphism of plus constructions defined by Boltje. The main observation is the following: If D is a restriction functor for a finite group G, then the mark morphism φ : D+ → D+ is the same as the norm map of the Tate cohomology sequence (over conjugation algebra for G) after composing with a suitable isomorphism of D+. As a consequence, we obtain an exact sequence of Mackey functors 0 → over(Ext, ̂)γ - 1 (ρ, D) → D+ over({long rightwards arrow}, φ) D+ → over(Ext, ̂)γ 0 (ρ, D) → 0 where ρ denotes the restriction algebra and γ denotes the conjugation algebra for G. Then, we show how one can calculate these Tate groups explicitly using group cohomology and give some applications to integrality conditions. © 2008 Elsevier B.V. All rights reserved. en_US dc.language.iso English en_US dc.source.title Journal of Pure and Applied Algebra en_US dc.relation.isversionof http://dx.doi.org/10.1016/j.jpaa.2008.11.025 en_US dc.title A Tate cohomology sequence for generalized Burnside rings en_US dc.type Article en_US dc.department Department of Mathematics en_US dc.citation.spage 1306 en_US dc.citation.epage 1315 en_US dc.citation.volumeNumber 213 en_US dc.citation.issueNumber 7 en_US dc.identifier.doi 10.1016/j.jpaa.2008.11.025 en_US
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