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Determination of torsion Abelian groups by their automorphism groups

Published online by Cambridge University Press:  17 April 2009

P. Schultz ,
A. Sebeldin  and
A. L. Sylla
P. Schultz
Affiliation:
Department of Mathematics and Statistics, The University of Western Australia, Nedlands W.A. 6907, Australia e-mail: Schultz@math.uwa.edu.au
A. Sebeldin
Affiliation:
Department of Mathematics, University of Conakry, Guinea-Conakry, West Africa, e-mail: Sebeldin@gn.refer.org, e-mail: amseb@mail.ru
A. L. Sylla
Affiliation:
Department of Mathematics, University of Conakry, Guinea-Conakry, West Africa, e-mail: Sebeldin@gn.refer.org, e-mail: amseb@mail.ru
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Abstract

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An Abelian torsion group is determined by its automorphism group if and only if its locally cyclic component is determined by its automorphism group. We describe the locally cyclic groups that are determined by their automorphism groups.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 67 , Issue 3 , June 2003 , pp. 511 - 519
Copyright
Copyright © Australian Mathematical Society 2003

References

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