ON THE LAWS OF NILPOTENT POINTED-GROUPS

  • Ali, Zafar (Department of Mathematics, University of Peshawar, Pakistan) ;
  • Majeed, Abdul (Department of Mathematics, University of Punjab, Lahore, Pakistan)
  • Published : 1998.11.01

Abstract

A pointed-group is an ordered pair (G,c) where G is a group and c is a specific element of G. Thus a pointed-group is a group together with a distinguish element. The aim of this paper is to generalize the result proved by R.C. Lyndon in [4], that every nilpotent group variety is finitely based for its laws.