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Hypertypes of torsion-free abelian groups of finite rank

Published online by Cambridge University Press:  17 April 2009

H.P. Goeters ,
C. Vinsonhaler  and
W. Wickless
H.P. Goeters
Affiliation:
Mathematics ACA, Auburn University, Auburn, AL 36849, United States of America
C. Vinsonhaler
Affiliation:
Department of Mathematics, University of Connecticut, 196 Auditorium Rd, Storrs, CT. 06268, United States of America
W. Wickless
Affiliation:
Department of Mathematics, University of Connecticut, 196 Auditorium Rd, Storrs, CT. 06268, United States of America
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Abstract

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Let G be a torsion-free abelian group of finite rank n and let F be a full free subgroup of G. Then G/F is isomorphic to T1 ⊕ … ⊕ Tn, where T1 ⊆ T2 ⊆ … ⊆ Tn ⊆ ℚ/ℤ. It is well known that type T1 = inner type G and type Tn = outer type G. In this note we give two characterisations of type Ti for 1 < i < n.

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 39 , Issue 1 , February 1989 , pp. 21 - 24
Copyright
Copyright © Australian Mathematical Society 1989

References

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