%0 Journal Article %T Normal Subgroup of Product of Groups %A Hiroyuki Okazaki %A Kenichi Arai %A Yasunari Shidama %J Formalized Mathematics %@ 1898-9934 %D 2011 %I %R 10.2478/v10037-011-0004-7 %X 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 ¡Ê I, the group G = ¦°i¡ÊIGi has a normal subgroup isomorphic to Gj. Moreover, we show some relations between a family of groups and its direct product. %U http://versita.metapress.com/content/kl04707085362l74/?p=25816f9e6d274cf5ab90abc2a2c39abd&pi=3