Join-transitively central factor

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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]
This is a variation of central factor|Find other variations of central factor |

Definition

A subgroup of a group is termed a join-transitively central factor if its join with any central factor is a central factor. Note that since central factors are normal subgroups, and a join of a normal subgroup with another subgroup is the same as the product, this is equivalent to requiring that the product with any central factor is a central factor.

Formalisms

In terms of the join-transiter

This property is obtained by applying the join-transiter to the property: central factor
View other properties obtained by applying the join-transiter

Relation with other properties

Stronger properties

Weaker properties

Metaproperties

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