On Torsion-Free Crawley Groups

Authors

Brendan Goldsmith, Technological University DublinFollow
A. L. S. Corner
R. Gobel, Universitat Duisberg Essen

Document Type

Article

Rights

This item is available under a Creative Commons License for non-commercial use only

Publication Details

In Quarterly Journal of Mathmatics, Oxford, 2, 57, 2006, pp.183-192. http://qjmath.oxfordjournals.org/cgi/content/full/57/2/183

Abstract

The notion of a Crawley p-group is well known in Abelian group theory. In this present work, a corresponding concept is introduced for torsion-free groups. The principal result, which uses the set-theoretic notions of the diamond and Martin’s axiom, establishes an independence result for N1-free Crawley groups.

DOI

https://doi.or/10.1093/qmath/hai004

Recommended Citation

Goldsmith, B. Corner, A.L.S. & R. Gobel. (2006). On torsion-free Crawley groups. Quarterly Journal of Mathmatics, vol. 57, no. 2, June. doi:10.1093/qmath/hai004