6533b832fe1ef96bd129a109
RESEARCH PRODUCT
A partition of characters associated to nilpotent subgroups
Gabriel NavarroLucia Sanussubject
CombinatoricsDiscrete mathematicsNilpotentBrauer's theorem on induced charactersSolvable groupGeneral MathematicsPartition (number theory)Nilpotent groupMathematicsdescription
IfG is a finite solvable group andH is a maximal nilpotent subgroup ofG containingF(G), we show that there is a canonical basisP(G|H) of the space of class functions onG vanishing off anyG-conjugate ofH which consists of characters. ViaP(G|H) it is possible to partition the irreducible characters ofG into “blocks”. These behave like Brauerp-blocks and a Fong theory for them can be developed.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-12-01 | Israel Journal of Mathematics |