6533b86dfe1ef96bd12ca1a1
RESEARCH PRODUCT
Injectors with a central socle in a finite solvable group
María Dolores Pérez-ramosRex DarkArnold D. Feldmansubject
Class (set theory)Algebra and Number Theoryfitting classinjectorPrime numberFitting subgroupCombinatoricsSet (abstract data type)Soclecentral socleSolvable groupfinite solvable group theoryNilpotent groupMathematicsdescription
Abstract In response to an Open Question of Doerk and Hawkes (1992) [2, IX §4, p. 628] , we shall describe three constructions for the Z π -injectors of a finite solvable group, where Z π is the Fitting class formed by the finite solvable groups whose π -socle is central (and π is a set of prime numbers).
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-05-01 |