2009.27: Free central extensions of groups and modular Lie powers of relation modules
2009.27: Marianne Johnson and Ralph Stöhr (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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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.
See also the MathsSciNet review of this article, MR2679603.
|Subjects:||MSC 2000 > 17 Nonassociative rings and algebras|
MSC 2000 > 20 Group theory and generalizations
|Deposited By:||Prof Ralph Stöhr|
|Deposited On:||11 February 2011|