Giannelli E.;Murray J.;Tent J.

2018

August

Annali di Matematica Pura ed Applicata

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

Published

0 ()

Alperin-McKay conjecture Restriction of characters Solvable groups Symmetric groups

197

4

999

1016

© 2017, The Author(s). 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.

0373-3114

10.1007/s10231-017-0712-x