Splitting of Closed Subgroups of Locally Compact Abelian Groups

Authors

  • A. A. Alijani Mollasadra Technical and Vocational College
  • A. Yekrangi Islamic Azad University

Keywords:

Split, Split Full, Locally Compact Abelian Groups

Abstract

Let £ be the category of all locally compact abelian (LCA) groups. In this paper, we investigate the splitting of the identity component, the subgroup of all compact elements and the maximal torsion subgroup of a group G\in£. A group G\in£ will be called split full if every closed subgroup of G splits. In this paper, we give a necessary condition for an LCA group to be split full.

 

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Author Biographies

A. A. Alijani, Mollasadra Technical and Vocational College

Mollasadra Technical and Vocational College,

Technical and Vocational University,

Ramsar,

Iran

A. Yekrangi, Islamic Azad University

Ramsar Branch,

Islamic Azad University,

Ramsar,

Iran

 

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Published

31-12-2018

How to Cite

Alijani, A. A. ., & Yekrangi, A. (2018). Splitting of Closed Subgroups of Locally Compact Abelian Groups. New Zealand Journal of Mathematics, 48, 115–119. Retrieved from https://nzjmath.org/index.php/NZJMATH/article/view/32

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Articles