Free central extensions of groups and modular Lie powers of relation modules

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

PDF JohnsonStohr_ProcAMS138.pdf Restricted to Repository staff only Download (447kB)

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
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

Actions (login required)

View Item