Finite groups whose all proper subgroups are <Emphasis Type="Italic">C</Emphasis>-groups |
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| Authors: | Pengfei Guo Jianjun Liu |
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| Institution: | 1.School of Mathematics and Statistics,Hainan Normal University,Haikou,P.R. China;2.School of Mathematics and Statistics,Southwest University,Chongqing,P.R. China |
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| Abstract: | A group G is said to be a C-group if for every divisor d of the order of G, there exists a subgroup H of G of order d such that H is normal or abnormal in G. We give a complete classification of those groups which are not C-groups but all of whose proper subgroups are C-groups. |
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