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Hall implies paracharacteristic
From Groupprops
This article gives the statement and possibly, proof, of an implication relation between two subgroup properties. That is, it states that every subgroup satisfying the first subgroup property (i.e., Hall subgroup) must also satisfy the second subgroup property (i.e., paracharacteristic subgroup)
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Get more facts about Hall subgroup|Get more facts about paracharacteristic subgroup
Related facts
Corollaries
Facts used
- Hall implies join of Sylow subgroups
- Sylow implies paracharacteristic
- Paracharacteristicity is strongly join-closed
Facts about Hall implies paracharacteristicRDF feed
| Fact about | Hall subgroup +, and Paracharacteristic subgroup + |
| Uses | Hall implies join of Sylow subgroups +, Sylow implies paracharacteristic +, and Paracharacteristicity is strongly join-closed + |
