On groups with a finite nilpotent upper central quotient

Graham Ellis

doi:10.1007/s000130050169

On groups with a finite nilpotent upper central quotient

Graham Ellis

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

15 Citations (Scopus)

Abstract

We obtain a bound on the order of the term γ_c+1G in the lower central series of a group G whose upper central quotient G/Z_cG is nilpotent and finite of known order. Our method involves an analysis of certain Baer invariants of a direct product of groups.

Original language	English
Pages (from-to)	89-96
Number of pages	8
Journal	Archiv der Mathematik
Volume	70
Issue number	2
DOIs	https://doi.org/10.1007/s000130050169
Publication status	Published - 2 Feb 1998

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On groups with a finite nilpotent upper central quotient

Abstract

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