This article is about a definition in group theory that is standard among the group theory community (or sub-community that dabbles in such things) but is not very basic or common for people outside.
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This article defines a subgroup property: a property that can be evaluated to true/false given a group and a subgroup thereof, invariant under subgroup equivalence. View a complete list of subgroup properties[SHOW MORE]
- Hall and hyperfocal implies retract: If a Hall subgroup of a finite group is also hyperfocal, then it is a retract: it possesses a normal complement.