# Isomorphisms of Direct Products of Cyclic Groups of Prime Power Order

Hiroshi Yamazaki; Hiroyuki Okazaki; Kazuhisa Nakasho; Yasunari Shidama

Formalized Mathematics (2013)

- Volume: 21, Issue: 3, page 207-211
- ISSN: 1426-2630

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topHiroshi Yamazaki, et al. "Isomorphisms of Direct Products of Cyclic Groups of Prime Power Order." Formalized Mathematics 21.3 (2013): 207-211. <http://eudml.org/doc/267126>.

@article{HiroshiYamazaki2013,

abstract = {In this paper we formalized some theorems concerning the cyclic groups of prime power order. We formalize that every commutative cyclic group of prime power order is isomorphic to a direct product of family of cyclic groups [1], [18].},

author = {Hiroshi Yamazaki, Hiroyuki Okazaki, Kazuhisa Nakasho, Yasunari Shidama},

journal = {Formalized Mathematics},

keywords = {formalization of the commutative cyclic group; prime power set; formalized mathematics; formalization of groups; products of finite cyclic groups; finite Abelian groups; direct products},

language = {eng},

number = {3},

pages = {207-211},

title = {Isomorphisms of Direct Products of Cyclic Groups of Prime Power Order},

url = {http://eudml.org/doc/267126},

volume = {21},

year = {2013},

}

TY - JOUR

AU - Hiroshi Yamazaki

AU - Hiroyuki Okazaki

AU - Kazuhisa Nakasho

AU - Yasunari Shidama

TI - Isomorphisms of Direct Products of Cyclic Groups of Prime Power Order

JO - Formalized Mathematics

PY - 2013

VL - 21

IS - 3

SP - 207

EP - 211

AB - In this paper we formalized some theorems concerning the cyclic groups of prime power order. We formalize that every commutative cyclic group of prime power order is isomorphic to a direct product of family of cyclic groups [1], [18].

LA - eng

KW - formalization of the commutative cyclic group; prime power set; formalized mathematics; formalization of groups; products of finite cyclic groups; finite Abelian groups; direct products

UR - http://eudml.org/doc/267126

ER -

## References

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