Normality-comparable 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]


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

Definition

Symbol-free definition

A subgroup of a group is termed normality-comparable if given any normal subgroup, either the given subgroup is contained in the normal subgroup, or the normal subgroup is contained in it.

Definition with symbols

A subgroup H of a group G is termed normality-comparable if given any normal subgroup N \triangleleft G, either N \le H or H \le N.

Relation with other properties

Related group properties