Join-transitively finite 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]

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Definition

A subgroup $H$ of a group $G$ is termed a join-transitively finite subgroup if its join with any finite subgroup is finite.

Formalisms

In terms of the join-transiter

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

Relation with other properties

Stronger properties

• Finite permutable subgroup
• Finite normal subgroup
• Finite elliptic subgroup

Weaker properties

• Finite subgroup