Intersection of kernels of bihomomorphisms

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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				|FULL LIST, MORE INFO
completely divisibility-closed normal subgroup				|FULL LIST, MORE INFO