On torsion-free crawley groups

A. L.S. Corner; R. Göbel; B. Goldsmith

doi:10.1093/qmath/hai004

On torsion-free crawley groups

A. L.S. Corner, R. Göbel, B. Goldsmith

Research output: Contribution to journal › Article › peer-review

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 א₁-free Crawley groups.

Original language	English
Pages (from-to)	183-192
Number of pages	10
Journal	Quarterly Journal of Mathematics
Volume	57
Issue number	2
DOIs	https://doi.org/10.1093/qmath/hai004
Publication status	Published - Jun 2006
Externally published	Yes

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title = "On torsion-free crawley groups",

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 א1-free Crawley groups.",

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AU - Corner, A. L.S.

AU - Göbel, R.

AU - Goldsmith, B.

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AB - 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 א1-free Crawley groups.

UR - https://www.scopus.com/pages/publications/33747881179

U2 - 10.1093/qmath/hai004

DO - 10.1093/qmath/hai004

M3 - Article

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SP - 183

EP - 192

JO - Quarterly Journal of Mathematics

JF - Quarterly Journal of Mathematics

IS - 2

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On torsion-free crawley groups

Abstract

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