Join-transitively pronormal subgroup
From Groupprops
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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 of a group
is termed join-transitively pronormal if, for any pronormal subgroup
of
, the join
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