Annals of Pure and Applied Logic 162 (8):667-678 (2011)

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
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DOI 10.1016/j.apal.2011.01.011
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Reverse Mathematics and Fully Ordered Groups.Reed Solomon - 1998 - Notre Dame Journal of Formal Logic 39 (2):157-189.

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