This article defines a subgroup property modifier (a unary subgroup property operator) -- viz an operator that takes as input a subgroup property and outputs a subgroup property
View a complete list of subgroup property modifiers OR View a list of all subgroup property operators (possibly with multiple inputs)
The subordination operator is a map from the subgroup property space to itself that sends a subgroup property to the property of being a subgroup for which there exists a ascending chain of subgroups from the subgroup to the group with each member satisfying in its successor.
Definition with symbols
The subordination operator on a property gives the following property: satisfies it in if there is an ascending chain ≤ ≤ with each satisfying in .