【摘要】：設(shè)G是有限群,π(G)表示G的階的素因子集合,μ(G)表示G的非次正規(guī)子群的共軛類類數(shù)。本文證明了滿足條件μ(G)≤2|π(G)|的有限群G可解,并完全刻畫非次正規(guī)子群共軛類類數(shù)不大于群的階的素因子個數(shù)的有限群,即滿足不等式μ(G)≤|π(G)|的有限群G的結(jié)構(gòu)。
[Abstract]:Let G be a finite group, 蟺 (G) denote the set of prime factors of order G, and 渭 (G) denote the number of conjugate classes of subnormal subgroups of G. In this paper, we prove the solvability of a finite group G satisfying the condition 渭 (G) 鈮，

本文編號：2265664