Soluble and supersoluble finite groups
Structure of finite soluble groups: supersolubility criteria, p-solubility and p-length, chief factors and their complements, σ-solubility and σ-nilpotency, Schmidt subgroups, derived length bounds for finite groups of special type, and factorized groups; classes of groups closed under operations go to Formations and Fitting classes.
- Formations and Fitting classes
- Abnormal supersoluble factorizations
- Alperin groups
- Products of maximal subgroups
- Supersolubility criteria
- σ-solubility, σ-nilpotency and σ-subnormality
- Frattini and complemented chief factors
- Schmidt subgroups
- Supersoluble maximal subgroups
- Supplements of maximal subgroups of Sylow subgroups
Loading dependency explorer…
The dependency explorer needs JavaScript and its graph data.