Counting positive defect irreducible characters of a finite group
| dc.citation.epage | 176 | en_US |
| dc.citation.spage | 167 | en_US |
| dc.citation.volumeNumber | 27 | en_US |
| dc.contributor.author | Barker, L. | en_US |
| dc.date.accessioned | 2019-02-06T08:23:53Z | |
| dc.date.available | 2019-02-06T08:23:53Z | |
| dc.date.issued | 1998 | en_US |
| dc.department | Department of Mathematics | en_US |
| dc.description.abstract | Let z+ (G) be the number of ordinary irreducible characters of a finite group G which have positive defect with respect to a prime p. We express z+(G) as the p- adic limit of a sequence of enumerative parameters of G and p. When p = 2, and under a suitable hypothesis on the Sylow 2- subgroups of G, we give two local characterisations of the parity of z+(G), one of them compatible with Alperin’s Weight Conjecture, the other apparently independent. | en_US |
| dc.identifier.eissn | 1179-4984 | |
| dc.identifier.issn | 1171-6096 | |
| dc.identifier.uri | http://hdl.handle.net/11693/48923 | |
| dc.language.iso | English | en_US |
| dc.publisher | University of Auckland, Department of Mathematics | en_US |
| dc.source.title | New Zealand Journal of Mathematics | en_US |
| dc.title | Counting positive defect irreducible characters of a finite group | en_US |
| dc.type | Article | en_US |
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