# Pages that link to "Equivalence of definitions of nilpotent group that is divisible for a set of primes"

The following pages link to **Equivalence of definitions of nilpotent group that is divisible for a set of primes**:

- Powering-invariant subgroup (← links)
- Divisibility-closed subgroup (← links)
- Derived subgroup is divisibility-closed in nilpotent group (← links)
- Lower central series members are divisibility-closed in nilpotent group (← links)
- Nilpotent group is divisible by a prime iff its abelianization is and iff all lower central series quotients are (redirect page) (← links)
- Nilpotent group that is divisible for a set of primes (← links)
- Equivalence of definitions of nilpotent group that is torsion-free for a set of primes (← links)
- Derived subgroup is quotient-divisibility-faithful in nilpotent group (← links)
- Solvable group with abelianization that is divisible by a prime need not be divisible by that prime (← links)
- Divisibility is inherited by extensions where the normal subgroup is contained in the hypercenter (← links)
- Stem extension preserves divisibility for nilpotent groups (← links)