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ON TORSION-FREE CRAWLEY GROUPS

ON TORSION-FREE CRAWLEY GROUPS 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The Quarterly Journal of Mathematics Oxford University Press

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References (11)

Publisher
Oxford University Press
Copyright
© Published by Oxford University Press.
ISSN
0033-5606
eISSN
1464-3847
DOI
10.1093/qmath/hai004
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

The Quarterly Journal of MathematicsOxford University Press

Published: Jun 15, 2006

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