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Formalized Mathematics

(a computer assisted approach)

Editor-in-Chief: Matuszewski, Roman

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ISSN
1898-9934
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In This Section
Volume 21, Issue 1 (Jan 2013)

Issues

Isomorphisms of Direct Products of Finite Commutative Groups

Hiroyuki Okazaki
  • Shinshu University Nagano, Japan
/ Hiroshi Yamazaki
  • Shinshu University Nagano, Japan
/ Yasunari Shidama
  • Shinshu University Nagano, Japan

Summary

We have been working on the formalization of groups. In [1], we encoded some theorems concerning the product of cyclic groups. In this article, we present the generalized formalization of [1]. First, we show that every finite commutative group which order is composite number is isomorphic to a direct product of finite commutative groups which orders are relatively prime. Next, we describe finite direct products of finite commutative groups

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About the article

The 1st author was supported by JSPS KAKENHI 21240001, and the 3rd author was supported by JSPS KAKENHI 22300285


Published in Print: 2013-01-01



Citation Information: Formalized Mathematics, ISSN (Online) 1898-9934, ISSN (Print) 1426-2630, DOI: https://doi.org/10.2478/forma-2013-0007. Export Citation

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