6533b870fe1ef96bd12cf04b

RESEARCH PRODUCT

ℏ-Normalizers and local definitions of saturated formations of finite groups

Adolfo Ballester-bolinches

subject

Discrete mathematicsMaximal subgroupClass (set theory)Pure mathematicsFinite groupConjugacy classGeneral MathematicsOrder (group theory)Algebra over a fieldNilpotent groupMathematics

description

We define, in each finite groupG, h-normalizers associated with a Schunck class ℏ of the formEΦ f with f a formation. We use these normalizers in order to give some sufficient conditions for a saturated formation of finite groups to have a maximal local definition.

https://doi.org/10.1007/bf02764949