نتایج جستجو برای: finite cyclic groups

تعداد نتایج: 1060462  

Journal: :Indagationes Mathematicae (Proceedings) 1973

Journal: :Journal of Algebraic Combinatorics 2013

Journal: :Formalized Mathematics 2012
Kenichi Arai Hiroyuki Okazaki Yasunari Shidama

In this article, we formalize that every finite cyclic group is isomorphic to a direct product of finite cyclic groups which orders are relative prime. This theorem is closely related to the Chinese Remainder theorem ([18]) and is a useful lemma to prove the basis theorem for finite abelian groups and the fundamental theorem of finite abelian groups. Moreover, we formalize some facts about the ...

Journal: :Bulletin of the American Mathematical Society 1985

Journal: :Proceedings of the Edinburgh Mathematical Society 1977

Journal: :Proceedings of the American Mathematical Society 2018

In this paper, without using the classification of finite simple groups, we determine the structure of  finite simple groups whose Sylow 3-subgroups are of the order 9. More precisely, we classify finite simple groups whose Sylow 3-subgroups are elementary abelian of order 9.

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