Nilpotent quotient-by-core subgroup

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Definition

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