FINITE_GROUPS

作品数：163被引量：161H指数：7
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相关机构：中国科学技术大学华中师范大学中山大学山西师范大学更多>>
相关期刊：《Communications in Mathematical Research》《Acta Mathematica Sinica,English Series》《Journal of Mathematical Research with Applications》《Science China Mathematics》更多>>
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On c#-normal subgroups in finite groups被引量：2
《Frontiers of Mathematics in China》2018年第5期1169-1178,共10页Huaquan WEI Qiao DAI Hualian ZHANG Yubo LV Liying YANG 
A subgroup H of a finite group G is called a c#-normal subgroup of G if there exists a normal subgroup K of G such that G = HK and H n K is a CAP-subgroup of G. In this paper, we investigate the influence of fewer c#-...
关键词：Finite group c#-normal p-supersolvable P-NILPOTENT SUPERSOLVABLE 
Finite Groups Whose Character Graphs Associated with Codegrees Have No Triangles被引量：1
《Algebra Colloquium》2016年第1期15-22,共8页Huan Xiong 
Motivated by Problem 164 proposed by Y. Berkovich and E. Zhmud＇ in their book ＂Characters of Finite Groups＂, we give a characterization of finite groups whose irreducible character codegrees are prime powers. This ...
关键词：finite group character graph codegree 
A Class of Finite Groups with Complete Character Degree Graphs
《Acta Mathematica Sinica,English Series》2013年第11期2155-2158,共4页Qing Yun MENG Xiao You CHEN Yu Lei WANG 
Supported by Science Foundation of He’nan University of Technology(Grant Nos.2011BS043 and 2010BS048);Tianyuan Fund of Mathematics of China(Grant No.11226046)
In this paper, we construct a new class of finite groups whose common divisor graphs are complete graphs, while there is no prime dividing all the nontrivial degrees.
关键词：Finite group character degree character degree graph 
Monomorphism categories associated with symmetric groups and parity in finite groups
《Science China Mathematics》2013年第3期525-530,共6页ZHANG YueHui 
Monomorphism categories of the symmetric and alternating groups are studied via Cayley's Em-bedding Theorem. It is shown that the parity is well defined in such categories. As an application, the parity in a finite gr...
关键词：monomorphism categories Cayley’s theorem PARITY balanced group 
A question on partial CAP-subgroups of finite groups
《Science China Mathematics》2012年第5期961-966,共6页BALLESTER-BOLINCHES Adolfo ESTEBAN-ROMERO Ramón LI YangMing 
supported by MEC of Spain,FEDER of European Union (Grant No.MTM-2007-68010-C03-02);MICINN of Spain (Grant No. MTM-2010-19938-C03-01);National Natural Science Foundation of China (Grant No. 11171353/A010201);Natural Science Fund of Guangdong (Grant No.S2011010004447)
A subgroup H of a finite group G is a partial CAP-subgroup of G if there is a chief series of G such that H either covers or avoids every chief factor of the series.The structural impact of the partial cover and avoid...
关键词：finite groups minimal subgroups partial cover and avoidance property saturated formations 
On s-semipermutable Subgroups of Finite Groups被引量：4
《Acta Mathematica Sinica,English Series》2010年第11期2215-2222,共8页Yang Ming LI Xuan Li HE Yan Ming WANG 
Supported by National Natural Science Foundation of China (Grant No.10871210);Natural Science Foundation of Guangdong Province (Grant No.06023728)
Suppose that G is a finite group and H is a subgroup of G. We say that H is ssemipermutable in G if HGv = GpH for any Sylow p-subgroup Gp of G with （p, ｜H｜） = 1. We investigate the influence of s-semipermutable su...
关键词：s-semipermutable subgroup the generalized Fitting subgroup p-nilpotent group saturated formation 
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