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AbstractThe 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 Martins axiom, establishes an independence result for 1-free Crawley groups.
The Quarterly Journal of Mathematics – Oxford University Press
Published: Jun 15, 2006
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