a Department of Pure Mathematics, University of Waterloo, Waterloo, ON, Canada N2L 3G1
b Department of Mathematics, 196 Auditorium Rd., University of Connecticut, U-3009, Storrs, CT 06269-3009, USA
Abstract:
The terms of the upper and lower central series of a nilpotent computable group have computably enumerable Turing degree. We show that the Turing degrees of these terms are independent even when restricted to groups which admit computable orders.