Pronormal Hall subgroup
This page describes a subgroup property obtained as a conjunction (AND) of two (or more) more fundamental subgroup properties: pronormal subgroup and Hall subgroup
View other subgroup property conjunctions | view all subgroup properties
Definition with symbols
- is a Hall subgroup of : The order and index of in are relatively prime.
- is a pronormal subgroup of : If is a conjugate subgroup to in , then are conjugate subgroups inside .
Relation with other properties
- Sylow subgroup
- Intermediately isomorph-conjugate Hall subgroup: Also related: