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Alperin–McKay natural correspondences in solvable and symmetric groups for the prime p= 2

Published version
Peer-reviewed

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Authors

Giannelli, E 
Murray, J 
Tent, J 

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.

Description

Keywords

Alperin-McKay conjecture, Symmetric groups, Solvable groups, Restriction of characters

Journal Title

Annali di Matematica Pura ed Applicata

Conference Name

Journal ISSN

0373-3114
1618-1891

Volume Title

197

Publisher

Springer Science and Business Media LLC