Intersection of kernels of bihomomorphisms

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]

|Get subgroup property lookup help |Get exploration suggestions
VIEW RELATED: Subgroup property implications | Subgroup property non-implications | Subgroup metaproperty satisfactions | Subgroup metaproperty dissatisfactions | Subgroup property satisfactions |Subgroup property dissatisfactions
VIEW FACTS THAT:use, or start with, a subgroup satisfying the property|prove, or show that, a subgroup satisfies the property

BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]

For its use outside the wiki, please define the term when using it. If you are aware of an equivalent standard term, please leave a comment on the talk page
VIEW: Definitions built on this | Facts about this: (facts closely related to Intersection of kernels of bihomomorphisms, all facts related to Intersection of kernels of bihomomorphisms) |Survey articles about this | Survey articles about definitions built on this
VIEW RELATED: Analogues of this | Variations of this | Opposites of this |
Learn more about terminology local to the wiki | view a complete list of such terminology

Definition

A subgroup $H$ of a group $G$ is termed an intersection of kernels of bihomomorphisms if we can write $H=\bigcap _{i\in I}H_{i}$ where each $H_{i}$ is a kernel of a bihomomorphism.

Relation with other properties

Stronger properties

Property	Meaning	Proof of implication	Proof of strictness (reverse implication failure)	Intermediate notions
kernel of a bihomomorphism
kernel of a multihomomorphism

Weaker properties

Property	Meaning	Proof of implication	Proof of strictness (reverse implication failure)	Intermediate notions
abelian-quotient subgroup				|FULL LIST, MORE INFO
completely divisibility-closed subgroup		intersection of kernels of bihomomorphisms implies completely divisibility-closed		|FULL LIST, MORE INFO
completely divisibility-closed normal subgroup		follows from intersection of kernels of bihomomorphisms implies completely divisibility-closed		|FULL LIST, MORE INFO