On the supersolvable residual of an M-group

Zheng Huijuan; Jin Ping

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On the supersolvable residual of an M-group

机译：在M-Group的超可变残余

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摘要

Using the technique of linear limits of characters due to Dade and Loukaki, we give some conditions on the supersolvable residual of a finite solvable group G that is sufficient to guarantee that G is an M-group. The monomiality of normal subgroups and Hall subgroups of the group G are also determined.

机译：由于达德和鲁卡基由于达德和Loukaki的线性限制技术，我们对有限的可溶性组G的超溶性残留的一些条件足以保证G是M组。还确定了组G的正常亚组和霍尔亚组的单项性。

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来源
《Journal of algebra and its applications》 |2018年第7期|共9页
作者
Zheng Huijuan; Jin Ping;
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作者单位

Shanxi Univ Sch Math Sci Taiyuan 030006 Shanxi Peoples R China;

Shanxi Univ Sch Math Sci Taiyuan 030006 Shanxi Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类代数、数论、组合理论;
关键词
Supersolvable residual; M-group; monomial character; linear limit;

机译：超溶剂残留;M组;单体特征;线性极限;

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专利

1. On the supersolvable residual of an M-group [J] . Zheng Huijuan, Jin Ping Journal of algebra and its applications . 2018,第7期

机译：在M-Group的超可变残余
2. On supersolvable and nearly supersolvable line arrangements [J] . Dimca Alexandru, Sticlaru Gabriel Journal of algebraic combinatorics . 2019,第4期

机译：在超冰和几乎超冰的线路布置上
3. M-Group integrates RefraSolid [J] . ZKG International . 2019,第3期

机译：M-Group集成了RefraSolid
4. MISCELLANEOUS RESULTS ON SUPERSOLVABLE GROUPS [C] . K. CORRáDI, P. Z. HERMANN, L. HéTHELYI, Groups St Andrews Theory Conference . 2011

机译：超糖组的杂项结果
5. Supersolvable Leibniz Algebras. [D] . Burch, Tiffany Michelle. 2015

机译：超可解的莱布尼兹代数。
6. ON THE SUPERSOLVABILITY OF BICYCLIC GROUPS [O] . Jesse Douglas 1961

机译：关于双环族的超可解性
7. Residual properties of nilpotent and supersolvable groups [O] . Allenby R.B.J.T, Gregorac R.J 1972

机译：幂和超可解基团的残留性质

On the supersolvable residual of an M-group

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