X-decomposable finite groups for X={1, m, m + 1, m + 2} |
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| Authors: | R. Chen X. Guo K. P. Shum |
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| Affiliation: | 1.College of Mathematics and Information Science,Henan Normal University,Henan,P. R. China;2.Department of Mathematics,Shanghai University,Shanghai,P. R. China;3.Institute of Mathematics,Yunnan University,Kunming,P. R. China |
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| Abstract: | A normal subgroup N of a finite group G is called n-decomposable in G if N is the union of n distinct G-conjugacy classes. We study the structure of nonperfect groups in which every proper nontrivial normal subgroup is m-decomposable, m+1-decomposable, or m+2-decomposable for some positive integer m. Furthermore, we give classification for the soluble case. |
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