论文标题
有限组的结构,对共轭类规模的集合有限制
Structure of finite groups with restrictions on the set of conjugacy classes sizes
论文作者
论文摘要
令$ n(g)$为$ g $的共轭类规模。我们证明,如果特定集合整数的$ n(g)=ω\ times \ {1,n \} $,则$ g \ simeq a \ times b $其中$ n(a)=ω$,$ n(b)= \ {1,n \} $,$ n $是prime的力量。
Let $N(G)$ be the set of conjugacy classes sizes of $G$. We prove that if $N(G)=Ω\times \{1,n\}$ for specific set $Ω$ of integers, then $G\simeq A\times B$ where $N(A)=Ω$, $N(B)=\{1,n\}$, and $n$ is a power of prime.