Monomial G-posets and their Lefschetz invariants

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buir.contributor.authorMutlu, Hatice
dc.citation.epage436en_US
dc.citation.spage399en_US
dc.citation.volumeNumber527en_US
dc.contributor.authorBouc, S.en_US
dc.contributor.authorMutlu, Haticeen_US
dc.date.accessioned2020-02-04T09:59:18Z
dc.date.available2020-02-04T09:59:18Z
dc.date.issued2019
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractLet G be a finite group, and C be an abelian group. We introduce the notions of C-monomial G-sets and C-monomial G-posets, and state some of their categorical properties. This gives in particular a new description of the C-monomial Burnside ring BC (G). We also introduce Lefschetz invariants of C-monomial G-posets, which are elements of BC (G). These invariants allow for a definition of a generalized tensor induction multiplicative map TU,λ : BC (G) → BC (H) associated to any C-monomial (G, H)-biset (U, λ), which in turn gives a group homomorphism BC (G)× → BC (H)× between the unit groups of C-monomial Burnside rings.en_US
dc.embargo.release2021-06-01
dc.identifier.doi10.1016/j.jalgebra.2019.02.036en_US
dc.identifier.issn0021-8693
dc.identifier.urihttp://hdl.handle.net/11693/53040
dc.language.isoEnglishen_US
dc.publisherElsevieren_US
dc.relation.isversionofhttps://dx.doi.org/10.1016/j.jalgebra.2019.02.036en_US
dc.source.titleJournal of Algebraen_US
dc.subjectBurnside ringen_US
dc.subjectMonomialen_US
dc.subjectTensor inductionen_US
dc.subjectLefschetz invarianten_US
dc.titleMonomial G-posets and their Lefschetz invariantsen_US
dc.typeArticleen_US

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