Obstructions for gluing biset functors

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buir.contributor.authorYalçın, Ergün
dc.citation.epage310en_US
dc.citation.spage268en_US
dc.citation.volumeNumber532en_US
dc.contributor.authorCoşkun, O.en_US
dc.contributor.authorYalçın, Ergünen_US
dc.date.accessioned2020-02-04T10:08:43Z
dc.date.available2020-02-04T10:08:43Z
dc.date.issued2019
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractWe develop an obstruction theory for the existence and uniqueness of a solution to the gluing problem for a biset functor defined on the subquotients of a finite group G. The obstruction groups for this theory are the reduced cohomology groups of a category D∗ G whose objects are the sections (U, V ) of G, where 1 = V U ≤ G, and whose morphisms are defined as a generalization of morphisms in the orbit category. Using this obstruction theory, we calculate the obstruction group for some well-known p-biset functors, such as the Dade group functor defined on p-groups with p odd.en_US
dc.description.provenanceSubmitted by Onur Emek (onur.emek@bilkent.edu.tr) on 2020-02-04T10:08:43Z No. of bitstreams: 1 Bilkent-research-paper.pdf: 268963 bytes, checksum: ad2e3a30c8172b573b9662390ed2d3cf (MD5)en
dc.description.provenanceMade available in DSpace on 2020-02-04T10:08:43Z (GMT). No. of bitstreams: 1 Bilkent-research-paper.pdf: 268963 bytes, checksum: ad2e3a30c8172b573b9662390ed2d3cf (MD5) Previous issue date: 2019en
dc.embargo.release2021-08-15
dc.identifier.doi10.1016/j.jalgebra.2019.05.026en_US
dc.identifier.issn0021-8693
dc.identifier.urihttp://hdl.handle.net/11693/53041
dc.language.isoEnglishen_US
dc.publisherElsevieren_US
dc.relation.isversionofhttps://doi.org/10.1016/j.jalgebra.2019.05.026en_US
dc.source.titleJournal of Algebraen_US
dc.subjectBiset functorsen_US
dc.subjectDade groupen_US
dc.subjectHigher limitsen_US
dc.subjectQuillen categoryen_US
dc.titleObstructions for gluing biset functorsen_US
dc.typeArticleen_US

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