A note on essential finite indecomposability and thickness in primary abelian groups
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Published:2013-06-30
Issue:2
Volume:44
Page:163-170
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ISSN:2073-9826
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Container-title:Tamkang Journal of Mathematics
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language:
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Short-container-title:Tamkang J. Math.
Author:
Danchev Peter V.,Keef Patrick W.
Abstract
We present a new characterization of essentially finitely indecomposable abelian $p$-groups. Parallel ideas are also applied to the socles of groups, especially in the case of groups that are pure-complete. These results are then used to discuss the class of thick abelian $p$-groups.
Publisher
Tamkang Journal of Mathematics
Subject
Applied Mathematics,General Mathematics