Radicable part

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This article defines a subgroup-defining function, viz., a rule that takes a group and outputs a unique subgroup
View a complete list of subgroup-defining functions OR View a complete list of quotient-defining functions

Definition

The radicable part or divisible part of a group is defined as the following subgroup (if it exists): the unique largest divisible subgroup that contains all other divisible subgroups.

The radicable part may not always make sense.