| k次导群具有某些性质的有限群 |
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| 引用本文： | 张林华.k次导群具有某些性质的有限群[J].西南师范大学学报(自然科学版),1994(5). |
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| 作者姓名： | 张林华 |
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| 作者单位： | 重庆建筑大学基础系 |
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| 摘 要： | 一个群称为ｋＮ、ｋＮ＿ｐ、ＫＳ＿ｐ、ｋＡ或ｋＣ群，如果该群的ｋ次导群分别幂零、ｐ－幂零、ｐ－超可解、交换或循环；本文主要解决了以下问题：（１）进一步推广了１Ｎ群的性质；（２）给出了极小非１Ａ群的完全分类。（３）找出了非线性不可约特征标维数相同的一类１Ｃ群。
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| 关 键 词： | kN群 饱和群系 不可约特征标 |
THE FIMTE GROUPS WHOSE k-TH DERIVED SUBGROUPS SATISFIES SOME CONDITIONS |
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| Zhang Linhua.THE FIMTE GROUPS WHOSE k-TH DERIVED SUBGROUPS SATISFIES SOME CONDITIONS[J].Journal of Southwest China Normal University(Natural Science),1994(5). |
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| Authors: | Zhang Linhua |
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| Abstract: | A group is caued kN-group, kN_p-group,kSp-group , kA-group or kC-group,if its k-th derived subgroupe are nilpotent,p-nilpotent,p-supersolvable,abelian or cyclic separately, In this paper(i)The properities of 1N-groups were extended.(ii)A complete classification of minilnal non-1A-groups was given.(iii)A kind of 1C-groups whose nonlinear irreducible characters have a same dimension was found out. |
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| Keywords: | kN-group saturated formation Irreducible character |
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