Giannelli, Eugenio and Murray, John and Tent, Joan (2018) Alperin–McKay natural correspondences in solvable and symmetric groups for the prime p = 2. Annali di Matematica, 197. pp. 999-1016. ISSN 0373-3114
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Abstract
Let G be a finite solvable or symmetric group, and let B be a 2-block of G. We construct a canonical correspondence between the irreducible characters of height zero in B and those in its Brauer first main correspondent. For symmetric groups our bijection is compatible with restriction of characters.
| Item Type: | Article |
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| Keywords: | Alperin-McKay conjecture; Symmetric groups; Solvable groups; Restriction of characters; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 13089 |
| Identification Number: | https://doi.org/10.1007/s10231-017-0712-x |
| Depositing User: | Dr. John Murray |
| Date Deposited: | 23 Jun 2020 14:37 |
| Journal or Publication Title: | Annali di Matematica |
| Publisher: | Springer Science+Business Media |
| Refereed: | Yes |
| URI: |
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