On groups with a finite nilpotent upper central quotient

Graham J. Ellis

On groups with a finite nilpotent upper central quotient

Graham J. Ellis

Mathematics

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Abstract

We obtain a bound on the order of the term gamma(c+1)G in the lower central series of a group G whose upper central quotient G Z(c)G 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 (Ireland)
Number of pages	7
Journal	Archiv Der Mathematik
Volume	70
Publication status	Published - 1 Feb 1998

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Authors
Ellis, G

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AB - We obtain a bound on the order of the term gamma(c+1)G in the lower central series of a group G whose upper central quotient G Z(c)G is nilpotent and finite of known order. Our method involves an analysis of certain Baer invariants of a direct product of groups.

M3 - Article

VL - 70

JO - Archiv Der Mathematik

JF - Archiv Der Mathematik

ER -

On groups with a finite nilpotent upper central quotient

Abstract

Authors (Note for portal: view the doc link for the full list of authors)

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