Normal Subgroup of Product of Groups

• Autorzy: Hiroyuki Okazaki , Kenichi Arai , Yasunari Shidama
• Języki publikacji: EN

Abstrakty

EN

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 j ∈ I, the group G = Πi∈IGi has a normal subgroup isomorphic to Gj. Moreover, we show some relations between a family of groups and its direct product.

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2011
• Tom: 19
• Numer: 1
• Strony: 23-26

Daty

wydano

2011-01-01

online

2011-07-18

Twórcy

autor

Hiroyuki Okazaki

• Shinshu University, Nagano, Japan

autor

Kenichi Arai

• Shinshu University, Nagano, Japan

autor

Yasunari Shidama

• Shinshu University, Nagano, Japan

Bibliografia

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Identyfikatory

DOI

10.2478/v10037-011-0004-7