Isomorphisms of Direct Products of Finite Commutative Groups
Hiroyuki Okazaki ; Hiroshi Yamazaki ; Yasunari Shidama
Formalized Mathematics, Tome 21 (2013), p. 65-74 / Harvested from The Polish Digital Mathematics Library

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

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:267309
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     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}
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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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