A partition of characters associated to nilpotent subgroups |
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| Authors: | Gabriel Navarro Lucía Sanus |
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| Affiliation: | (1) Department d’Algebra, Facultat de Matemátiques, Universitat de Valencia, 46100 Burjassot, Valencia, Spain |
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| Abstract: | 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. Research partially supported by DGICYT and MEC. |
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