FINITE_GROUPS

作品数:163被引量:161H指数:7
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相关作者:王丽芳张勤海冯衍全朱静萍梁茂辉更多>>
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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