Join-transitively pronormal subgroup

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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]

Definition

Symbol-free definition

A subgroup of a group is termed join-transitively pronormal if its join with any pronormal subgroup of the group is pronormal.

Definition with symbols

A subgroup H of a group G is termed join-transitively pronormal if, for any pronormal subgroup K of G, the join \langle H, K \rangle is also pronormal.

Formalisms

In terms of the join-transiter

This property is obtained by applying the join-transiter to the property: pronormal subgroup
View other properties obtained by applying the join-transiter

Relation with other properties

Stronger properties

Weaker properties