An inequality on derived length of a solvable group
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- 作者：Zhengfei Wu (1)
Xianhe Zhao (2)
Shirong Li (3)
1. School of Mathematics ; South China University of Technology ; Guangzhou ; 510641 ; P.R. China
2. College of Mathematics and Information Science ; Henan Normal University ; Xinxiang ; Henan ; 453007 ; P.R. China
3. Department of Mathematics ; Guangxi University ; Nanning ; Guangxi ; 530004 ; P.R. China - 关键词：20D10 ; 20D20 ; solvable group ; non ; abelian subgroup ; derived length
- 刊名：Journal of Inequalities and Applications
- 出版年：2015
- 出版时间：December 2015
- 年：2015
- 卷：2015
- 期：1
- 全文大小：1,153 KB
- 参考文献：1. Li, S, Zhao, X: Finite groups with few non-cyclic subgroups. J. Group Theory 10, 225-233 (2007) CrossRef
2. Robinson, DJS: A Course in the Theory of Groups. Springer, New York (1982) CrossRef - 刊物主题：Analysis; Applications of Mathematics; Mathematics, general;
- 出版者：Springer International Publishing
- ISSN：1029-242X
文摘
Let G be a finite solvable group. Write \(\delta^{*}(G)\) for the number of conjugacy classes of non-abelian subgroups of G, and by \(d(G)\) denote the length of derived subgroups. In this paper an upper bound of \(d(G)\) is given in terms of \(\delta^{*}(G)\) .