6533b836fe1ef96bd12a0c23

RESEARCH PRODUCT

Bases for induced characters

Gabriel Navarro

subject

NilpotentPure mathematicsSolvable groupComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONGeneral MedicineMathematics

description

AbstractIf G is a finite solvable group, we show that Isaacs' theory on partial characters on Hall π-subgroups can be developed for the nilpotent injectors of G. Therefore, the irreducible characters of G are partitioned into blocks associated to some nilpotent subgroups of G.

https://doi.org/10.1017/s1446788700000446