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Formalized Mathematics

(a computer assisted approach)

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Volume 19, Issue 1 (Jan 2011)

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Normal Subgroup of Product of Groups

Hiroyuki Okazaki
  • Shinshu University, Nagano, Japan
/ Kenichi Arai
  • Shinshu University, Nagano, Japan
/ Yasunari Shidama
  • Shinshu University, Nagano, Japan
Published Online: 2011-07-18 | DOI: https://doi.org/10.2478/v10037-011-0004-7

Normal Subgroup of Product of Groups

In [6] it was formalized that the direct product of a family of groups gives a new group. In this article, we formalize that for all jI, the group G = ΠiIGi has a normal subgroup isomorphic to Gj. Moreover, we show some relations between a family of groups and its direct product.

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About the article


Published Online: 2011-07-18

Published in Print: 2011-01-01



Citation Information: Formalized Mathematics, ISSN (Online) 1898-9934, ISSN (Print) 1426-2630, DOI: https://doi.org/10.2478/v10037-011-0004-7. Export Citation

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