【摘要】 主要讨论了每个 2 极大子群是次正规子群的有限群的结构 ;证明了有限群G的每个 2 极大子群都是G的次正规子群 G为以下二型群之一 :Ⅰ .有限幂零群 ,Ⅱ .G =PQ ,其中P ∈Sylp(G) ,Q∈Sylq(G) ,p≠q ,P是G的极小正规子群 ,Q是循环群 ,Q /G ,但Q的极大子群Q1 G .更多还原

【Abstract】 In this paper, the structure of fini te groups whose every 2-maximal subgroup is subnormal is discussed. It is prov ed that every 2-maximal subgroup of a finite group G is subnormal if and on ly if G is one of the following two types: I. finite nilpotent groups; Ⅱ. G=PQ, where P∈Sylp (G) is a minimal normal subgroup of G, Q∈Sy lq(G), p≠q, primes, Q is a cycli c group with Q/G, but the maxim al subgroup Q 1 of Q is normal in G.更多还原