On σ-Subnormal Subgroups of Finite Groups
[摘要] Let p be a prime and let σ = {{p}, {p}′} be a partition of the set ℙ of all primes. We prove the following conjecture by Skiba: If each complete Hall set of type σ in a finite group G is reducible to some subgroup H of G then H is σ-subnormal in G.
[发布日期] [发布机构]
[效力级别] [学科分类] 数学(综合)
[关键词] finite group;σ-subnormal subgroup;Hall subgroup;complete Hall set [时效性]