# Radicable part

From Groupprops

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.