Fusion system-relatively weakly closed subgroup
BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]
The article defines a subgroup property, where the definition may be in terms of a particular prime number that serves as parameter
View other prime-parametrized subgroup properties | View all subgroup properties
Suppose is a group of prime power order, i.e., a finite -group for some prime number . A subgroup of is termed a fusion system-relatively weakly closed subgroup if is a weakly closed subgroup for any fusion system on .
Relation with other properties
- Isomorph-normal coprime automorphism-invariant subgroup of group of prime power order: For full proof, refer: Isomorph-normal coprime automorphism-invariant implies weakly closed for any fusion system
- Fusion system-relatively strongly closed subgroup