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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 28 (2001), Issue 8, Pages 455-460
doi:10.1155/S0161171201006457

On a theorem of Schur.

Peter Hilton

Department of Mathematical Sciences, Suny Binghamton, Binghamton 13902-6000, NY, USA

Abstract

We study the ramifications of Schur's theorem that, if G is a group such that G/ZG is finite, then G′ is finite, if we restrict attention to nilpotent group. Here ZG is the center of G, and G′ is the commutator subgroup. We use localization methods and obtain relativized versions of the main theorems.