The p-cockcroft property of central extensions of groups

Abstract

A presentation for an arbitrary group extension is well known. A generalization of the work by Conway et al. (Group Tenser 1972, 25, 405-418) on central extensions has been given by Balk et al. (J. Group Theor.). As an application of this we discuss necessary and sufficient conditions for the presentation of the central extension to be p-Cockcroft, where p is a prime or 0. Finally, we present some examples of this result.