Right-quotient-transitively central factor

From Groupprops
Jump to: navigation, search
BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]
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

Definition with symbols

A subgroup H of a group G is termed a right-quotient-transitively central factor if H is a normal subgroup of G and whenever K is a subgroup of G such that K/H is a central factor of G/H, then K is a central factor of G.

Relation with other properties

Stronger properties

Weaker properties