A Sufficient Condition for Nilpotency in a Finite Group

2014/11/10 by Baumslag, Benjamin, Wiegold, James
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1411.2877

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.

Related

• A nilpotency criterion for finite groups
• An inequality detecting nilpotency of finite groups
• A criterion for nilpotency of a finite group by the sum of element orders
• The Nilpotency Criterion for the Derived Subgroup of a Finite Group
• A p-nilpotency criterion for finite groups