Johnson, Marianne and Stöhr, Ralph
(2010)
*Free central extensions of groups and modular Lie powers of relation modules.*
Proceedings of the AMS, 138 (11).
pp. 3807-3814.
ISSN 0002-9939

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## Abstract

The most prominent special case of our main result is that the free centre-by-(nilpotent of class (c-1))-by-abelian groups F/[\gamma_c(F'),F] are torsion-free whenever c is divisible by at least two distinct primes. This is in stark contrast to the case where c is a prime or c=4, where these relatively free groups contain non-trivial elements of finite order.

Item Type: | Article |
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Additional Information: | See also the MathsSciNet review of this article, MR2679603. |

Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 17 Nonassociative rings and algebras MSC 2010, the AMS's Mathematics Subject Classification > 20 Group theory and generalizations |

Depositing User: | Prof Ralph Stöhr |

Date Deposited: | 11 Feb 2011 |

Last Modified: | 20 Oct 2017 14:12 |

URI: | https://eprints.maths.manchester.ac.uk/id/eprint/1578 |

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