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A Generalization of Cuccia's Theorem

A Generalization of Cuccia's Theorem
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摘要 For a finite group G, let S(G) be the set of minimal subgroups of odd order,which are complemented in G. It is proved that if every minimal subgroup X of odd orderof G which does not belong to S(G), CG(X) is either subnormal or abnormal in G. Then Gsolvable.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2006年第4期497-502,共6页 数学季刊(英文版)
基金 Supported by the Natural Science Foundation of Guangxi Autonomous Region(0249001)
关键词 the centralizer of a minimal subgroup subnormal subgroups abnormal sub-group solvablc group 泛化 Cuccia定理 有限群 群论
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