Israel Journal of Mathematics

, Volume 114, Issue 1, pp 359–380 | Cite as

A partition of characters associated to nilpotent subgroups

Article
Received:

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.

Keywords

Conjugacy Class Good Basis Semidirect Product Solvable Group Irreducible Character 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Hebrew University 1999

Authors and Affiliations

  1. 1.Department d’Algebra, Facultat de MatemátiquesUniversitat de ValenciaBurjassot, ValenciaSpain

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