On a theorem of Schur

Peter Hilton

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 28, 1-6

Abstract:

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

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:974595

DOI: 10.1155/S0161171201006457

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