Free centre-by-nilpotent-by-abelian groups

Marianne Johnson; Ralph Stöhr

doi:10.1112/blms/bdp041

Free centre-by-nilpotent-by-abelian groups

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Abstract

We prove that the free centre-by-(nilpotent-of-class-(c - 1))-by-abelian groups F/[γc(F′), F] are torsion-free for c = 6. This is in startling contrast to the cases when c is a prime and when c = 4, where these relatively free groups contain non-trivial elements of finite order. © 2009 London Mathematical Society.

Original language	English
Pages (from-to)	795-803
Number of pages	8
Journal	Bulletin of the London Mathematical Society
Volume	41
Issue number	5
DOIs	https://doi.org/10.1112/blms/bdp041
Publication status	Published - Oct 2009

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title = "Free centre-by-nilpotent-by-abelian groups",

abstract = "We prove that the free centre-by-(nilpotent-of-class-(c - 1))-by-abelian groups F/[γc(F′), F] are torsion-free for c = 6. This is in startling contrast to the cases when c is a prime and when c = 4, where these relatively free groups contain non-trivial elements of finite order. {\textcopyright} 2009 London Mathematical Society.",

author = "Marianne Johnson and Ralph St{\"o}hr",

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AU - Stöhr, Ralph

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AB - We prove that the free centre-by-(nilpotent-of-class-(c - 1))-by-abelian groups F/[γc(F′), F] are torsion-free for c = 6. This is in startling contrast to the cases when c is a prime and when c = 4, where these relatively free groups contain non-trivial elements of finite order. © 2009 London Mathematical Society.

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DO - 10.1112/blms/bdp041

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SP - 795

EP - 803

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

IS - 5

ER -

Free centre-by-nilpotent-by-abelian groups

Abstract

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