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SELF-SMALL ABELIAN GROUPS

Part of: Abelian groups

Published online by Cambridge University Press:  29 June 2009

ULRICH ALBRECHT ,
SIMION BREAZ  and
WILLIAM WICKLESS
ULRICH ALBRECHT*
Affiliation:
Department of Mathematics, Auburn University, Auburn, AL 36849, USA (email: albreuf@mail.auburn.edu)
SIMION BREAZ
Affiliation:
‘Babeş-Bolyai’ University, Faculty of Mathematics and Computer Science, Str. Mihail Kogălniceanu 1, 400084 Cluj-Napoca, Romania (email: bodo@math.ubbcluj.ro)
WILLIAM WICKLESS
Affiliation:
Department of Mathematics, University of Connecticut, Storrs, CT 06269, USA (email: wickless@math.uconn.edu)
*
✉For correspondence; e-mail: albreuf@mail.auburn.edu
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Abstract

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This paper investigates self-small abelian groups of finite torsion-free rank. We obtain a new characterization of infinite self-small groups. In addition, self-small groups of torsion-free rank 1 and their finite direct sums are discussed.

Keywords

self-small groupprojection conditionessentially W-reduced group

MSC classification

Secondary: 20K21: Mixed groups

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 80 , Issue 2 , October 2009 , pp. 205 - 216
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2009

Footnotes

The second author is supported by grant no. PN2CD ID-489.

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