C-closed subgroup

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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Definition

Symbol-free definition

A subgroup of a group is termed a centralizer subgroup if it occurs as the centralizer of a nonempty subset (or equivalently, of a subgroup).

Alternative terminology for a centralizer subgroup is self-bicommutant subgroup, self-bicentralizer subgroup, and C-closed subgroup.