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
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
|
| 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: |
|
| Use Licence: |
This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available
here |
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