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Groupprops β

Conjugacy-closed characteristic subgroup

This page describes a subgroup property obtained as a conjunction (AND) of two (or more) more fundamental subgroup properties: conjugacy-closed subgroup and characteristic subgroup
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A subgroup of a group is termed a conjugacy-closed characteristic subgroup if it is both a conjugacy-closed subgroup (i.e., any two elements of the subgroup that are conjugate in the whole group are conjugate in the subgroup) and a characteristic subgroup.

Relation with other properties