Left residual of intermediately subnormal-to-normal by normal

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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]
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Definition

Symbol-free definition

The subgroup property left residual of intermediately subnormal-to-normal by normal is defined as the left residual of the property intermediately subnormal-to-normal subgroup by the property normal subgroup.

Definition with symbols

The left residual of intermediately subnormal-to-normal by normal is the subgroup property $p$ described as follows: $H$ has property $p$ in $G$ if, whenever $G$ is realized as a normal subgroup in some group $K$ , $H$ is an intermediately subnormal-to-normal subgroup of $K$ .

Relation with other properties

Stronger properties