【摘要】 本文证明了下述主要定理: 设G为有限群.若对每一个素数p|G|,G的每个p-sylow子群S有mp个极大子群在G中S一半正规,且其中至少有两个在G中次正规,则G超可解,其中m_p>1,d_p=2 P^d_p^-2-1/P-1,d_p>2式中dp为S的最小生成元个数本定理推广了Srinivasan.S[1]及张来武在[3]中的有关结果.更多还原

【Abstract】 In this paper we hava established the following result.Theorem A Let G be a finite group. If for every prime p||G|, every p-Sylow subgroup S of G has m_ρ maximal subgroups which are S-seminorma in G and there are at least two of them which are subnormal in G with where p(dρ)=|S/φ(S)|, then G is supersolvable.This has generalized someresults of S. Srinivasan in[1]and Zhang Naiwu更多还原