Borel-Smith functions and the Dade group
| dc.citation.epage | 839 | en_US |
| dc.citation.issueNumber | 2 | en_US |
| dc.citation.spage | 821 | en_US |
| dc.citation.volumeNumber | 311 | en_US |
| dc.contributor.author | Bouc, S. | en_US |
| dc.contributor.author | Yalçın, E. | en_US |
| dc.date.accessioned | 2016-02-08T10:14:14Z | |
| dc.date.available | 2016-02-08T10:14:14Z | |
| dc.date.issued | 2007 | en_US |
| dc.department | Department of Mathematics | en_US |
| dc.description.abstract | We show that there is an exact sequence of biset functors over p-groups0 → Cb over(→, j) B* over(→, Ψ) DΩ → 0 where Cb is the biset functor for the group of Borel-Smith functions, B* is the dual of the Burnside ring functor, DΩ is the functor for the subgroup of the Dade group generated by relative syzygies, and the natural transformation Ψ is the transformation recently introduced by the first author in [S. Bouc, A remark on the Dade group and the Burnside group, J. Algebra 279 (2004) 180-190]. We also show that the kernel of mod 2 reduction of Ψ is naturally equivalent to the functor B× of units of the Burnside ring and obtain exact sequences involving the torsion part of DΩ, mod 2 reduction of Cb, and B×. © 2006 Elsevier Inc. All rights reserved. | en_US |
| dc.description.provenance | Made available in DSpace on 2016-02-08T10:14:14Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2007 | en |
| dc.identifier.doi | 10.1016/j.jalgebra.2006.11.022 | en_US |
| dc.identifier.eissn | 1090-266X | |
| dc.identifier.issn | 0021-8693 | |
| dc.identifier.uri | http://hdl.handle.net/11693/23460 | |
| dc.language.iso | English | en_US |
| dc.publisher | Academic Press | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1016/j.jalgebra.2006.11.022 | en_US |
| dc.source.title | Journal of Algebra | en_US |
| dc.subject | Borel - Smith functions | en_US |
| dc.subject | Burnside ring | en_US |
| dc.subject | Dade group | en_US |
| dc.subject | Representation rings | en_US |
| dc.title | Borel-Smith functions and the Dade group | en_US |
| dc.type | Article | en_US |
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