Nilpotent quotient-by-core 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]
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Symbol-free definition

A subgroup of a group is said to be nilpotent quotient-by-core if the quotient-by-core of this subgroup (that is, its quotient by its normal core) is a nilpotent group.

Definition with symbols

A subgroup H in a group G is termed nilpotent quotient-by-core if H/H_G is a nilpotent group where H_G denotes the normal core of H (or the intersection of conjugates of H).

Relation with other properties

Stronger properties