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【正文】 Application ofThe Fundamental Homomorphism Theoremof GroupLI Qianqian LIU Zhigang YANG Liying（Department of Mathematics and Computer Science, Guangxi Teachers Education University,Nanning Guangxi 530001, ）Abstract: The fundamental homomorphism theorem is very important consequence in group theory, by using it we can resolve many problems. In this paper we researches mainly about the fundamental homomorphism theorem applied to direct products of groups and group of inner automorphisms of a group G. Keyword: The Fundamental Homomorphism Theorem。 Direct Products。 Inner AutomorphismsMR(2003) Subject Classification: 16WChinese Library Classification: Document code: A In the realm of abstract algebra, group is one of the basic and important concept, have extensive application in the math itself and many side of modern science technique. For example Theories physics, Quantum mechanics, Quantum chemistry, Crystallography application are clear certifications. So that, after we study abstract algebra course, go deep into a ground of theories of research to have the necessity very much more. In the contents of group, the fundamental homomorphism theorem is very important theorem, we can use it prove many problems about group theory, in this paper to prove several conclusions as follow with the fundamental homomorphism theorem: These contents are all standard if we not to the special provision and explained.Definition
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