A note on essential finite indecomposability and thickness in primary abelian groups

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Published: Jun 30, 2013
DOI: https://doi.org/10.5556/j.tkjm.44.2013.1040
Keywords:
thick groups essentially finitely indecomposable groups pure-complete groups socles

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Peter V. Danchev
Department ofMathematics, Plovdiv University “P. Hilendarski”, Plovdiv 4000, Bulgaria. E-mail: pvdanchev@yahoo.com
Patrick W. Keef
Department ofMathematics,Whitman College,WallaWalla,WA 99362, USA.

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.

Article Details

How to Cite
Danchev, P. V., & Keef, P. W. (2013). A note on essential finite indecomposability and thickness in primary abelian groups. Tamkang Journal of Mathematics, 44(2), 163–170. https://doi.org/10.5556/j.tkjm.44.2013.1040
Issue
Vol. 44 No. 2 (2013)
Section
Papers

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