An observation on the module structure of block algebras
| buir.contributor.author | Gelvin, Matthew J. K. | |
| dc.citation.epage | 5293 | en_US |
| dc.citation.issueNumber | 12 | en_US |
| dc.citation.spage | 5286 | en_US |
| dc.citation.volumeNumber | 47 | en_US |
| dc.contributor.author | Gelvin, Matthew J. K. | en_US |
| dc.date.accessioned | 2020-02-21T06:31:38Z | |
| dc.date.available | 2020-02-21T06:31:38Z | |
| dc.date.issued | 2019-05-26 | |
| dc.department | Department of Mathematics | en_US |
| dc.description.abstract | Let B be a p-block of the finite group G. We observe that the p-fusion of G constrains the module structure of B: Any basis of B that is closed under the left and right multiplications of a chosen Sylow p-subgroup S of G must in fact form a semicharacteristic biset for the fusion system on S induced by G. The parameterization of such semicharacteristic bisets can then be applied to relate the module structure and defect theory of B. | en_US |
| dc.identifier.doi | 10.1080/00927872.2019.1617874 | en_US |
| dc.identifier.eissn | 1532-4125 | |
| dc.identifier.issn | 0092-7872 | |
| dc.identifier.uri | http://hdl.handle.net/11693/53462 | |
| dc.language.iso | English | en_US |
| dc.publisher | Taylor & Francis | en_US |
| dc.relation.isversionof | https://dx.doi.org/10.1080/00927872.2019.1617874 | en_US |
| dc.source.title | Communications in Algebra | en_US |
| dc.subject | Blocks of finite groups | en_US |
| dc.subject | Characteristic bisets | en_US |
| dc.subject | Fusion systems | en_US |
| dc.title | An observation on the module structure of block algebras | en_US |
| dc.type | Article | en_US |
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