典型文献
On Covering Number of Groups with Trivial Fitting Subgroup
文献摘要：
Let G be a finite group and S be a subset of Irr(G).If for every prime divisor p of|G| there is a character X in S such that p divides x(1),S is called a covering set of G.The covering number of G,denoted by cn(G),is defined as the minimal number of Card(S),where S is a covering set of G and Card(S)is the cardinality of set S.In this paper,we prove that if G is a finite group with F(G)=1,then the covering number cn(G)≤3.Especially,if PSL2(q)or Ji is not involved in G,then cn(G)≤2.
文献关键词：
中图分类号：
作者姓名：
Yang LIU
作者机构：
School of Mathematical Science,Tianjin Normal University,Tianjin 300387,P.R.China
文献出处：
引用格式：
[1]Yang LIU-.On Covering Number of Groups with Trivial Fitting Subgroup)[J].数学学报（英文版）,2022(07):1277-1284
A类：
Trivial,divisor,PSL2
B类：
On,Covering,Number,Groups,Fitting,Subgroup,Let,finite,subset,Irr,If,every,prime,there,character,such,that,divides,called,covering,number,denoted,by,cn,defined,as,minimal,Card,where,cardinality,In,this,paper,we,prove,if,then,Especially,Ji,involved
AB值：
0.538248
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