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2-hypernormalized subgroup
From Groupprops
This article defines a subgroup property: a property that can be evaluated to true/false given a group and a subgroup thereof.
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RANDOM SUBGROUP PROPERTY: Hall subgroup: A subgroup of a finite group whose order and index are relatively prime. Sylow subgroups are a special case.
Contents |
Definition
Symbol-free definition
A subgroup of a group is termed 2-hypernormalized if its normalizer is a normal subgroup.
Relation with other properties
Stronger properties
Weaker properties
- Finitarily hypernormalized subgroup
- 2-subnormal subgroup
- Hypernormalized subgroup
- Subnormal subgroup
- Conjugate-permutable subgroup
Facts about 2-hypernormalized subgroupRDF feed
| Stronger than | Finitarily hypernormalized subgroup +, 2-subnormal subgroup +, Hypernormalized subgroup +, Subnormal subgroup +, and Conjugate-permutable subgroup + |
| Weaker than | Normal subgroup + |

