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
@article{bwmeta1.element.doi-10_2478_forma-2013-0007, author = {Hiroyuki Okazaki and Hiroshi Yamazaki and Yasunari Shidama}, title = {Isomorphisms of Direct Products of Finite Commutative Groups}, journal = {Formalized Mathematics}, volume = {21}, year = {2013}, pages = {65-74}, zbl = {1277.20068}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_forma-2013-0007} }
Hiroyuki Okazaki; Hiroshi Yamazaki; Yasunari Shidama. Isomorphisms of Direct Products of Finite Commutative Groups. Formalized Mathematics, Tome 21 (2013) pp. 65-74. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_forma-2013-0007/
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