非次正规子群共轭类数对有限群结构的影响
发布时间：2018-10-12 09:44
【摘要】：设G是有限群,π(G)表示G的阶的素因子集合,μ(G)表示G的非次正规子群的共轭类类数。本文证明了满足条件μ(G)≤2|π(G)|的有限群G可解,并完全刻画非次正规子群共轭类类数不大于群的阶的素因子个数的有限群,即满足不等式μ(G)≤|π(G)|的有限群G的结构。
[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，
本文编号：2265664
[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，
本文编号：2265664
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