Algebra

   

Structure Theorem for Abelian Groups (General Case, Finite or Infinite)

Authors: Eli Halylaurin

You will find here an attempt to demonstrate a general structure theorem for abelian groups (finite or infinite). Such a theorem already exists in the finite case, but the infinite case does not seem to have been deeply studied. This is what it is proposed to do in this document. To achieve this task, Zorn lemma will be used. We will try to prove each abelian group can be seen as included, modulo isomorphism, in a direct product of groups that can be represented upon a circle or a line.

Comments: 4 Pages. This document is french written.

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Submission history

[v1] 2016-09-17 15:49:01
[v2] 2016-10-21 13:25:57
[v3] 2016-11-06 01:57:56

Unique-IP document downloads: 74 times

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