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《Journal of Guangxi University for Nationalities(Natural Science Edition)》 2011-04
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The exploration of Galois' algebraic equation theory

ZHAO Ye,WANG Chang(1.Department of mathematics and phisics,xi'an tecnoligical university,Xi'an 710032,China;2.Department of mathematics,northwest university,Xi'an 710127,China)  
Aim :To explore the theory of Galois'(1811-1832) algebraic equation through the depth study to the radical solution theory.Methods: Historical investigation and mathematical analysis.Results: Galois found his theory by introducing some conceptions such as "Galois group","mormal subgroup ","permutation group"etc,and he found the corresponding relation between radical expansion tower and solvable group.He finally solved the problem of algebraic equation radical solution theory.Conclusion : Galois inherited the thoughts of lagrange's(1736-1813) problem transforming,and he developed this thoughts so that people turned the research of algebraic equation radical solution theory into the study of structure conception.It caused the found of abstract algebra discipline.His research idea produced by inheriting and developing predecessor's ideological achievements.
【Fund】: 国家自然科学基金资助项目(2009JM1017);; 陕西省自然科学基金资助项目(2009JM1017);; 西北大学研究生自主创新资助项目(10YZZ05)
【CateGory Index】: O11
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