On Frobenius' conjecture |
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Authors: | Wang Yanming |
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Institution: | (1) Department of Mathematics, Peking University, Peking, China |
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Abstract: | By using the classification theorem of finite simple groups, we have shown that “IfG is a finite group,H is a coprime operator group ofG, C
G(H)≤S(G), thenG is solvable.” As a direct corollary, we have completely proved the long-standing conjecture on fixed-point-free automorphism
group.
The author is grateful to Professor Chen Zhongmu for his supervision. |
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Keywords: | |
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