A Sufficient Condition for Nilpotency in a Finite Group

Abstract

It is shown that finite groups in which the order of the product of every pair of elements of co-prime order is the product of the orders, is nilpotent.

Cited by in corpus (3)

• A criterion for metanilpotency of a finite group
• A nilpotency criterion for some verbal subgroups
• The Nilpotency Criterion for the Derived Subgroup of a Finite Group