6533b871fe1ef96bd12d0ffa
RESEARCH PRODUCT
Partial characters with respect to a normal subgroup
Gabriel NavarroLucia Sanussubject
Normal subgroupCombinatoricsComplement (group theory)Class (set theory)Complex spaceGroup (mathematics)Standard basisGeneral MedicineIndecomposable modulePrime (order theory)Mathematicsdescription
AbstractSuppose that G is a π-separable group. Let N be a normal π1-subgroup of G and let H be a Hall π-subgroup of G. In this paper, we prove that there is a canonical basis of the complex space of the class functions of G which vanish of G-conjugates ofHN. When N = 1 and π is the complement of a prime p, these bases are the projective indecomposable characters and set of irreduciblt Brauer charcters of G.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-02-01 |